First, calculate \(\arctan(3)\). This gives \(\arctan(3) = 1.249\) radians.

Next, we need to find \(\sin(1.249)\). Using a calculator, \(\sin(1.249) \approx 0.949\).

Set \(x - 1 = 0.949\), so \(x = 0.949 + 1 = 1.949\).

Therefore, the value of \(x\) is approximately 1.95.