This sounds like an issue wih IP routing. Since you can ping the ctrlX-CORE from the router there is nothing which needs to be changed on the core side. What is the subnet of the wifi dongen and is this equal to the subnet your PC uses? For instance if the Wifi network has 192.168.10.0/24 and the PC is on 192.168.11.0/24 you need a routing entry in your router to make sure a ping form 192.168.11.x (IP address of the PC) is routed to subnet 19.168.10.0/24 and not towards the internet what it normally would do.
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