Finding the Fourth Proportional to 1,016.27, 1,524.71 and 430.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.27 : 1,524.71 = 430.97 : x
2. Step 2: Convert to fraction form
   1,016.27/1,524.71 = 430.97/x
3. Step 3: Cross multiply
   1,016.27x = 1,524.71 × 430.97
4. Step 4: Simplify right side
   1,016.27x = 657,097.72
5. Step 5: Solve for x
   x = 657,097.72/1,016.27
6. Step 6: Final answer
   x = 646.58