Step 1: Understanding the transport number and equivalent conductance.
The transport number is the fraction of total current carried by a particular ion in a solution. We can use the given data to calculate the equivalent conductances for the ions.
Step 2: Conclusion.
The equivalent conductance values for \( \text{Ag}^+ \) and \( \text{NO}_3^- \) at infinite dilution are \( 714 \, \text{S cm}^2 \) and \( 619.4 \, \text{S cm}^2 \), corresponding to option (2).