5 Tungsten

RE: XPS 13 4K monitor connectivity

Ok, in that case you can try updating your system BIOS and your Intel graphics driver, but if that doesn't solve it, I would suspect either a hardware fault or at least an incompatibility with your specific equipment even if the hardware should work and WOULD otherwise work with other equipment, so it would become a case of isolating variables.  For example, have you successfully tested that adapter and cable with another 4K display?  Have you gotten that display to run 4K from any other system?