Finding the Fourth Proportional to 10,398.31, 14,349.67 and 5,682.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,398.31 : 14,349.67 = 5,682.59 : x
2. Step 2: Convert to fraction form
   10,398.31/14,349.67 = 5,682.59/x
3. Step 3: Cross multiply
   10,398.31x = 14,349.67 × 5,682.59
4. Step 4: Simplify right side
   10,398.31x = 81,543,305.45
5. Step 5: Solve for x
   x = 81,543,305.45/10,398.31
6. Step 6: Final answer
   x = 7,841.98