Balancing of Multiple Mass in Single Plane

Balancing of multiple mass in single plane the net force and moment should be-
For dynamic balancing of a shaft,
A disturbing mass m1 attached to a rotating shaft may be balanced by a single mass m2 attached in same plane of rotation as that of m1 such that
For a balanced system force polygon should exist.
Four masses m1, m2, m3 and m4 are 200kg, 300kg, 240kg and 260kg respectively. The corresponding radii of rotation are 0.2m, 0.15m, 0.25m and 0.3m respectively and the angles between successive masses are 45°, 75° and 135°.Find the position and magnitude of the balance mass required, if its radius of rotation is 0.2m.