Finding the Fourth Proportional to 1,016.37, 1,523.32 and 431.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.37 : 1,523.32 = 431.15 : x
2. Step 2: Convert to fraction form
   1,016.37/1,523.32 = 431.15/x
3. Step 3: Cross multiply
   1,016.37x = 1,523.32 × 431.15
4. Step 4: Simplify right side
   1,016.37x = 656,779.42
5. Step 5: Solve for x
   x = 656,779.42/1,016.37
6. Step 6: Final answer
   x = 646.20