Step 1: Formula.
The complex is K\(_4\)[Fe(CN)\(_6\)]. Potassium has charge +1. Cyanide ion (CN\(^-\)) has charge –1.
Step 2: Calculation of oxidation state.
Let oxidation state of Fe = \(x\).
\[
4(+1) + x + 6(-1) = 0
\]
\[
4 + x - 6 = 0 \implies x - 2 = 0 \implies x = +2
\]
Step 3: Coordination number.
The number of ligands directly attached to Fe is 6 (from 6 CN\(^-\) ligands). Hence, coordination number = 6.
Step 4: Conclusion.
Oxidation number of Fe = +2, coordination number = 6.