[Tex/LaTex] alignment inside split and align

alignamsmathmath-modesplit

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I would like to have (Kollo Skewness) to be aligned on the right with (Row Sums) and (Orthogonality) while keeping (4.16) in between the third and fourth line.

This is my code

\begin{align} 
    &\mathbf{L}_{mn}'\mathbf{L}_{mn}  = m \mathbf{I}_n & \text{(Orthogonality)}\\
    &\mathbf{1}_m^{'} \mathbf{L}_{mn}  = \mathbf{0}'_n & \text{(Row Sums)} \\
    \begin{split} \label{eq:kollo:b}
        &\mathbf{b} = m^{-1} \left[ s_1 \mathbf{c}_1 + \dots + s_m \mathbf{c}_m  \right]  \text{(Kollo skewness)}\\
        &\text{where} \quad s_k = \left(c_{1k} + \dots + c_{nk}  \right)^2 = \left( \mathbf{1}' \mathbf{c}_k \right)^2 
    \end{split}
\end{align}

This might have also been answered elsewhere. If so please point me there. I was unable to find it.

This is a minimum example

\documentclass[12pt,a4paper]{report}
\usepackage{amsmath,amsfonts,amsthm}
\setlength{\topmargin}{1.5cm}
\setlength{\headheight}{15pt}
\setlength{\headsep}{20pt}
\setlength{\topskip}{12pt}
\setlength{\evensidemargin}{0pt}
\setlength{\oddsidemargin}{0pt}
\setlength{\textheight}{240mm}
\setlength{\textwidth}{160mm}
\setlength{\voffset}{-2cm}
\setlength{\parindent}{0pt}
\setlength{\parskip}{6pt}


\begin{document}
\begin{align} 
    &\mathbf{L}_{mn}'\mathbf{L}_{mn}  = m \mathbf{I}_n & \text{(Orthogonality)}\\
    &\mathbf{1}_m^{'} \mathbf{L}_{mn}  = \mathbf{0}'_n & \text{(Row Sums)} \\
    \begin{split} \label{eq:kollo:b}
        &\mathbf{b} = m^{-1} \left[ s_1 \mathbf{c}_1 + \dots + s_m \mathbf{c}_m  \right]  \text{(Kollo skewness)}\\
        &\text{where} \quad s_k = \left(c_{1k} + \dots + c_{nk}  \right)^2 = \left( \mathbf{1}' \mathbf{c}_k \right)^2 
    \end{split}
\end{align}
\end{document}

Best Answer

Here are two different possible alignments, with aligned instead of split:

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{fourier}
\usepackage{mathtools}
\usepackage{cleveref}

\begin{document}

\begin{align}
    &\mathbf{L}_{mn}'\mathbf{L}_{mn} = m \mathbf{I}_n & \text{(Orthogonality)}\\
    &\mathbf{1}_m^{'} \mathbf{L}_{mn} = \mathbf{0}'_n & \text{(Row Sums)} \\
     & \begin{aligned}[t] \label{eq:kollo:b}
        &\mathbf{b} = m^{-1} \left[ s_1 \mathbf{c}_1 + \dots + s_m \mathbf{c}_m \right]\\
        &\quad\text{where} \quad s_k = \left(c_{1k} + \dots + c_{nk} \right)^2 = \left( \mathbf{1}' \mathbf{c}_k \right)^2
    \end{aligned} & \text{(Kollo skewness)}
\end{align}

\Cref{eq:kollo:b}

\begin{align}
    &\mathbf{L}_{mn}'\mathbf{L}_{mn} = m \mathbf{I}_n & & \text{(Orthogonality)}\\
    &\mathbf{1}_m^{'} \mathbf{L}_{mn} = \mathbf{0}'_n & & \text{(Row Sums)} \\
     & \begin{aligned}[t] \label{eq:kollo:c}
        &\mathbf{b} = m^{-1} \left[ s_1 \mathbf{c}_1 + \dots + s_m \mathbf{c}_m \right]\\
        &\quad\text{where} \quad s_k = \left(c_{1k} + \dots + c_{nk} \right)^2 = \left( \mathbf{1}' \mathbf{c}_k \right)^2
    \end{aligned} & & \text{(Kollo skewness)}
\end{align}

\end{document} 

enter image description here