Finding the Fourth Proportional to 1,016.18, 1,524.67 and 431.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.18 : 1,524.67 = 431.31 : x
2. Step 2: Convert to fraction form
   1,016.18/1,524.67 = 431.31/x
3. Step 3: Cross multiply
   1,016.18x = 1,524.67 × 431.31
4. Step 4: Simplify right side
   1,016.18x = 657,605.42
5. Step 5: Solve for x
   x = 657,605.42/1,016.18
6. Step 6: Final answer
   x = 647.13