Finding the Fourth Proportional to 10,499.92, 14,490.92 and 7,842.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.92 : 14,490.92 = 7,842.71 : x
2. Step 2: Convert to fraction form
   10,499.92/14,490.92 = 7,842.71/x
3. Step 3: Cross multiply
   10,499.92x = 14,490.92 × 7,842.71
4. Step 4: Simplify right side
   10,499.92x = 113,648,139.03
5. Step 5: Solve for x
   x = 113,648,139.03/10,499.92
6. Step 6: Final answer
   x = 10,823.72