If i calculate as per your instructions, it would be:
X + rho * g * a
138 + 1000 * 9.81 * 1.5
14853 N/m2
Now,
14853 = rho * g * h
h = 14853 / rho * g
h = 14853 / (13600 *9.81)
Therefore, h = 0.111328
But the solution is 1.145m :(
Thanks for trying to help...any other ideas...