Finding the Fourth Proportional to 10,398.63, 14,350.16 and 5,682.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,398.63 : 14,350.16 = 5,682.92 : x
2. Step 2: Convert to fraction form
   10,398.63/14,350.16 = 5,682.92/x
3. Step 3: Cross multiply
   10,398.63x = 14,350.16 × 5,682.92
4. Step 4: Simplify right side
   10,398.63x = 81,550,711.10
5. Step 5: Solve for x
   x = 81,550,711.10/10,398.63
6. Step 6: Final answer
   x = 7,842.45