Based on the logs, it seems its failing on the HTML5 MMR package.

You can try installed the client without HTML5 MMR package. During installation click Customize installation and uncheck HTML 5 MMR

Or

try extracting the .exe and running the html5 msi installer manually to see if it gives you more information:

     VMware-Horizon-Client-4.7.0-7395453.exe /x

     cd %temp%

     Find the directory it extracted too.

    cd %temp%/directoryextract/AttachedContainer/

     rename VMware Horizon HTML5 MMR (x64) to VMware Horizon HTML5 MMR (x64).msi

     run install with log and review the log

          msiexec.exe /i VMware Horizon HTML5 MMR (x64).msi /lv html5mmr.log