Finding the Fourth Proportional to 10,238.32, 14,129.62 and 5,762.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,238.32 : 14,129.62 = 5,762.52 : x
2. Step 2: Convert to fraction form
   10,238.32/14,129.62 = 5,762.52/x
3. Step 3: Cross multiply
   10,238.32x = 14,129.62 × 5,762.52
4. Step 4: Simplify right side
   10,238.32x = 81,422,217.84
5. Step 5: Solve for x
   x = 81,422,217.84/10,238.32
6. Step 6: Final answer
   x = 7,952.69