At first reading there is a catch here, we dont know if there is a neutral connection.
To calculate the power for the delta connection:
1 For each load, calculate the impedance. (Z = √(R² + X²))
2 For each load, find the current. (I = V/Z)
3 For each load, find the power. (W = I²R)
The total power is now the sum of the power in each load.
Now, for a star connection where the star point is connected to neutral, just do the same as for the delta connection. (Remember that the phase voltage will be line voltage divided by √3).
However, if the star point is floating the voltage across each load will be different because this is an unbalanced circuit.
At this point my three phase mathematical abilities run out and I dont know how to handle this case.
Running through the problem and assuming a neural connection, the numbers seem to work out quite easily.
(Hint: for the delta connection I make the total power 458watts).
JimB