Step 1: Identify ligands and counter ions.
The given compound is \([Cu(NH_3)_4]SO_4\).
- The coordination sphere is \([Cu(NH_3)_4]^{2+}\).
- Sulphate ion \((SO_4^{2-})\) is outside the coordination sphere.
Step 2: Charge balance.
Let oxidation state of Cu = \(x\).
Ammonia \((NH_3)\) is a neutral ligand, so its charge = 0.
\[
x + (4 \times 0) = +2
\]
\[
x = +2
\]
Conclusion:
The oxidation number of copper in the compound \([Cu(NH_3)_4]SO_4\) is:
\[
\boxed{+2}
\]