Step 1: Understanding the Concept
Hardy-Schulze rule: the coagulating ion is the one with charge opposite to the sol, and its power rises sharply with its charge. Ferric oxide sol is positive, so anions coagulate it.
Step 2: Detailed Explanation
The anions in the options are \(\text{NO}_3^-\) (charge 1), \(\text{SO}_4^{2-}\) (2), \(\text{PO}_4^{3-}\) (3) and \([\text{Fe(CN)}_6]^{4-}\) (4).
Order of power: \([\text{Fe(CN)}_6]^{4-} > \text{PO}_4^{3-} > \text{SO}_4^{2-} > \text{NO}_3^-\).
So \(\text{KNO}_3\), with the monovalent nitrate, has the minimum coagulating power.
Final Answer:
\(\text{KNO}_3\) has the least coagulating power, option (A).
\[ \boxed{\text{KNO}_3} \]