Finding the Fourth Proportional to 10,238.73, 14,129.90 and 5,762.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,238.73 : 14,129.90 = 5,762.77 : x
2. Step 2: Convert to fraction form
   10,238.73/14,129.90 = 5,762.77/x
3. Step 3: Cross multiply
   10,238.73x = 14,129.90 × 5,762.77
4. Step 4: Simplify right side
   10,238.73x = 81,427,314.09
5. Step 5: Solve for x
   x = 81,427,314.09/10,238.73
6. Step 6: Final answer
   x = 7,952.88