Please post your system specs, driver versions, etc.
(My error about the question.) " Totally unnecessary. " (I'd missed the original emptiness of the OP on specs.) The PC in question (turned out to be) lacking any usable video solution, and must be replaced, entirely, or upgraded (only if it's a desktop, and I didn't care enough to find out that aspect).
Skyrim Minimum Requirements
* Direct X 9 compliant
video card with 512 MB of RAM
(and
sufficient performance to actually put that VRAM to use) The HD 4200 is only an 0nboard video chip with Zero VRAM.