1. **State the problem:** Simplify the expression $3.14 \times 3^3 \times 9$. 2. **Recall the order of operations:** Calculate exponents first, then multiplication. 3. **Calculate the exponent:** $3^3 = 3 \times 3 \times 3 = 27$. 4. **Substitute back:** The expression becomes $3.14 \times 27 \times 9$. 5. **Multiply step-by-step:** - First multiply $3.14 \times 27$: $$3.14 \times 27 = 84.78$$ - Then multiply the result by 9: $$84.78 \times 9 = 763.02$$ 6. **Final answer:** The simplified value of the expression is $763.02$.