Finding the Fourth Proportional to 10,108.82, 13,949.88 and 5,632.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,108.82 : 13,949.88 = 5,632.30 : x
2. Step 2: Convert to fraction form
   10,108.82/13,949.88 = 5,632.30/x
3. Step 3: Cross multiply
   10,108.82x = 13,949.88 × 5,632.30
4. Step 4: Simplify right side
   10,108.82x = 78,569,909.12
5. Step 5: Solve for x
   x = 78,569,909.12/10,108.82
6. Step 6: Final answer
   x = 7,772.41