That's not how PCIe negotiation works.worth noting is that the 4th slot is PCIe4x8 and then bottlenecked by the chipset PCIe4x4 link, so if you have a PCIe3x8 card you will get the full bandwidth
If the slot has been dropped to 4 lanes because of a PCIe switch forcing the lanes somewhere else, then you will only get 4 lanes to the slot. After that, the slot and card negotiate the version, so since the card in your example is PCIe 3, that's the link speed.
So, the result would be PCIe 3.0x4.