1. **State the problem:** Find the product of 12.22 and 15.38. 2. **Formula used:** To find the product of two numbers, multiply them directly: $$\text{Product} = a \times b$$ where $a = 12.22$ and $b = 15.38$. 3. **Calculation:** $$12.22 \times 15.38 = ?$$ 4. **Multiply:** $$12.22 \times 15.38 = 187.8436$$ 5. **Interpretation:** The product of 12.22 and 15.38 is 187.8436. **Final answer:** $$\boxed{187.8436}$$