Finding the Fourth Proportional to 10,238.56, 14,129.42 and 5,762.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,238.56 : 14,129.42 = 5,762.29 : x
2. Step 2: Convert to fraction form
   10,238.56/14,129.42 = 5,762.29/x
3. Step 3: Cross multiply
   10,238.56x = 14,129.42 × 5,762.29
4. Step 4: Simplify right side
   10,238.56x = 81,417,815.57
5. Step 5: Solve for x
   x = 81,417,815.57/10,238.56
6. Step 6: Final answer
   x = 7,952.08