Finding the Fourth Proportional to 10,132.75, 13,982.92 and 5,656.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,132.75 : 13,982.92 = 5,656.38 : x
2. Step 2: Convert to fraction form
   10,132.75/13,982.92 = 5,656.38/x
3. Step 3: Cross multiply
   10,132.75x = 13,982.92 × 5,656.38
4. Step 4: Simplify right side
   10,132.75x = 79,092,709.03
5. Step 5: Solve for x
   x = 79,092,709.03/10,132.75
6. Step 6: Final answer
   x = 7,805.65