Finding the Fourth Proportional to 10,294.48, 14,207.88 and 5,820.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,294.48 : 14,207.88 = 5,820.04 : x
2. Step 2: Convert to fraction form
   10,294.48/14,207.88 = 5,820.04/x
3. Step 3: Cross multiply
   10,294.48x = 14,207.88 × 5,820.04
4. Step 4: Simplify right side
   10,294.48x = 82,690,429.92
5. Step 5: Solve for x
   x = 82,690,429.92/10,294.48
6. Step 6: Final answer
   x = 8,032.50