Step 1: Identifying the precipitate.
AgNO$_3$ reacts with orthophosphate (PO$_4^{3-}$) to form silver phosphate (Ag$_3$PO$_4$), which is known for its characteristic yellow precipitate.
Step 2: Checking other options.
Phosphite, pyrophosphate, and metaphosphate do not form a yellow Ag salt under normal conditions; they produce either white or no precipitate.
Step 3: Conclusion.
The only species giving a yellow precipitate with AgNO$_3$ is orthophosphate (Ag$_3$PO$_4$).