it is a little hard to know what you mean. Why are their 4 grounds on one rf board? For emi purposes, one RF ground is preferred!
The basic concept is, if you build a "faraday cage" with circuitry inside, those RF signals should not leak out. That is, if there is a mostly metal box surrounding the circuitry (with a ground plane being the bottom wall of that box), you have a faraday shield.
So if there are 4 separate grounds...if they are all planar you would need 4 separate metal shield boxes. If the 4 grounds are on top of one another...then you have a REAL MESS and do not have any idea where the ground return currents are actually flowing, so can not connect the box to them properly. If they are on top of one another, the only hope is for a "million" via holes connecting them all together.