Finding the Fourth Proportional to 11,565.10, 15,951.60 and 7,981.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,565.10 : 15,951.60 = 7,981.42 : x
2. Step 2: Convert to fraction form
   11,565.10/15,951.60 = 7,981.42/x
3. Step 3: Cross multiply
   11,565.10x = 15,951.60 × 7,981.42
4. Step 4: Simplify right side
   11,565.10x = 127,316,419.27
5. Step 5: Solve for x
   x = 127,316,419.27/11,565.10
6. Step 6: Final answer
   x = 11,008.68