Try the Intel 4000 HD driver from the ASUS Site.
Version V10.18.10.3308.02 (note the .02 at the end. This may be newer than the version you have.
It's for Windows 8.1
My HP Wireless TV Connect device would not work on my ASUS N56VJ laptop running Win 8.1 PRO. The laptop has Intel 4000 and NVIDIA GT635M.
An HP rep reported on the HP Support forum that both Intel and NVIDIA were still using drivers for Windows 7 and his suggestion to another user was to backtrack to 8.0. You really can't do that.
I upgraded my NVIDIA driver, to no avail. But when I downloaded the Intel 4000 driver from ASUS, unzipped and executed the Setup.exe, BINGO! Problem solved.
So, go to Support on the ASUS site, enter N56VJ as the model, go to the Downloads stuff, pick VGA, then you'll find the INtel 4000 driver.