Finding the Fourth Proportional to 10,238.31, 14,126.04 and 5,761.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,238.31 : 14,126.04 = 5,761.80 : x
2. Step 2: Convert to fraction form
   10,238.31/14,126.04 = 5,761.80/x
3. Step 3: Cross multiply
   10,238.31x = 14,126.04 × 5,761.80
4. Step 4: Simplify right side
   10,238.31x = 81,391,417.27
5. Step 5: Solve for x
   x = 81,391,417.27/10,238.31
6. Step 6: Final answer
   x = 7,949.69