I can't believe they did WXP, but skipped over Vista, and went to Win7 & 8
Well after quite a number of hours traipsing all over the internet, I finally came up with a solution just by trial and error of trying to install every logical version I could find, and 97% of them would not install, there was another one that did install but it would not work. In the end I found just one, that did/does.
Intel did not have a valid link for the file I needed, and so I had to search through hell and back, and finally got a hold of it, installed it, and it seems to work fine so far and changed the system rating from 1.0 up to 5.7, and importantly I now have the Aero theme working like I wanted. We'll see if this has any problems, but it seems just fine so far for what need.
The file that finally let me install it, and works for my HD4000 running Windows Vista 32 bit is:
GFX_Win7_32_8.15.10.2639_PV.exe
File size 91 MB, and production date of February 8, 2012
Yes I have Windows 7 & Windows 8 installed too, but, I also needed Vista for software testings and is why all the fuss for this.
Yes Sylvia you are right it seems Vista is not officially supported as per your link, and a few others I saw too; but they should.
However I hope this helps someone else that wants to get Vista going using the HD4000, while running an Intel i7-3770K CPU on a DZ77BH-55K Motherboard anyway.