Finding the Fourth Proportional to 10,238.67, 14,128.83 and 5,762.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,238.67 : 14,128.83 = 5,762.61 : x
2. Step 2: Convert to fraction form
   10,238.67/14,128.83 = 5,762.61/x
3. Step 3: Cross multiply
   10,238.67x = 14,128.83 × 5,762.61
4. Step 4: Simplify right side
   10,238.67x = 81,418,937.05
5. Step 5: Solve for x
   x = 81,418,937.05/10,238.67
6. Step 6: Final answer
   x = 7,952.10