On different forums, it's been told that older versions of QuickTime (previous to 7.7.7) might work on W10. Try downloading 7.7.6 for Windows here.
UPDATE. I think it's about some extra validations on the installer. I happen to have W10 Pro x64 but I upgraded from W7 and it says a newer version is installed. That means, the program itself runs but the installer on recent versions have some extra logic that prevents it from running on untested environments.
Also, check that you can manually run QuickTime exe (C:\Program Files(x32)\QuickTime\QuickTimePlayer.exe).
If your browser does not show content, it might be related to Chrome not accepting old x32 plugins (or NPAPI plugins at all) from v42 on as stated here.