Step 1: Meaning of precipitating power.
Precipitating power of an ion depends on its charge and its ability to neutralize oppositely charged ions in solution.
Step 2: Effect of ionic charge.
Ions with higher charge have greater electrostatic attraction and hence greater ability to cause precipitation.
Step 3: Comparison of given ions.
Among the given ions, $\mathrm{Al^{3+}}$ has the highest positive charge, making it most effective in precipitating oppositely charged ions.
Step 4: Conclusion.
Thus, the ionic species with highest precipitating power is (D) $\mathrm{Al^{3+}$}.