4K monitors cannot be used on Surface Pro 4 's with I7 processors.
Have you tried using Second Screen Only? Win+P, End, Enter (and then Tab, Enter to accept a Keep this? prompt). Alternatively, see what happens if you change the PC Screen to Portrait orientation.
Also, what do you have for a video driver? Looks like there has been a lot of change last year...
https://support.microsoft.com/en-us/help/4023489/surface-surface-pro-4-update-history
This for Iris in particular
| Intel Corporation driver update for Intel(R) Iris(TM) Graphics 540 | Intel(R) Iris(TM) Graphics 540 – Display adapters<br><br><ul><br><li>21.20.16.4627 improves DX12 and power performance.</li></ul> |
|---|
And that won't even be considering all the possibilities from Intel--if you had a more precise specification than just "i7" to find them. One method is to use msinfo32 System Summary to capture its Processor: value.
E.g. Guess from above info would take you here for
Downloads for Intel® Iris™ Graphics 540
https://downloadcenter.intel.com/product/88358
HTH
Robert Aldwinckle