Finding the Fourth Proportional to 10,132.84, 13,982.34 and 5,656.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,132.84 : 13,982.34 = 5,656.24 : x
2. Step 2: Convert to fraction form
   10,132.84/13,982.34 = 5,656.24/x
3. Step 3: Cross multiply
   10,132.84x = 13,982.34 × 5,656.24
4. Step 4: Simplify right side
   10,132.84x = 79,087,470.80
5. Step 5: Solve for x
   x = 79,087,470.80/10,132.84
6. Step 6: Final answer
   x = 7,805.06