Part (iv)
First, find the total resistance in the circuit using the EMF and current:
V = IR
V / I = R
R = 15/(10x10^-3)
R = 1500 Ohms
Now, you can form an equation with the unknown resistance:
(1/1200 + 1/X)^-1 + 540 = 1500
Rearrange it:
(1/1200 + 1/X)^-1= 960
Get rid of the power of -1 on the left:
(1/1200 + 1/X)= 1/960
Rearrange now to get the unknown on its own:
1/X = 1/960 - 1/1200
1/X = 1/4800
To get from 1/X to X just times by the power of -1:
(1/X)^-1 = (1/4800)^-1
X = 4800
So the thermistor has a resistance of 4800 Ohms, to check just substitute this value into the original resistance calculation and you should get 1500 Ohms.
My method is a little confusing, but I hope it helps