Finding the Fourth Proportional to 10,398.34, 14,349.77 and 5,682.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,398.34 : 14,349.77 = 5,682.72 : x
2. Step 2: Convert to fraction form
   10,398.34/14,349.77 = 5,682.72/x
3. Step 3: Cross multiply
   10,398.34x = 14,349.77 × 5,682.72
4. Step 4: Simplify right side
   10,398.34x = 81,545,724.97
5. Step 5: Solve for x
   x = 81,545,724.97/10,398.34
6. Step 6: Final answer
   x = 7,842.19