Finding the Fourth Proportional to 10,132.38, 13,981.50 and 5,655.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,132.38 : 13,981.50 = 5,655.96 : x
2. Step 2: Convert to fraction form
   10,132.38/13,981.50 = 5,655.96/x
3. Step 3: Cross multiply
   10,132.38x = 13,981.50 × 5,655.96
4. Step 4: Simplify right side
   10,132.38x = 79,078,804.74
5. Step 5: Solve for x
   x = 79,078,804.74/10,132.38
6. Step 6: Final answer
   x = 7,804.56