Finding the Fourth Proportional to 10,645.20, 14,689.98 and 5,929.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,645.20 : 14,689.98 = 5,929.38 : x
2. Step 2: Convert to fraction form
   10,645.20/14,689.98 = 5,929.38/x
3. Step 3: Cross multiply
   10,645.20x = 14,689.98 × 5,929.38
4. Step 4: Simplify right side
   10,645.20x = 87,102,473.61
5. Step 5: Solve for x
   x = 87,102,473.61/10,645.20
6. Step 6: Final answer
   x = 8,182.32