Finding the Fourth Proportional to 10,238.81, 14,126.73 and 5,762.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,238.81 : 14,126.73 = 5,762.30 : x
2. Step 2: Convert to fraction form
   10,238.81/14,126.73 = 5,762.30/x
3. Step 3: Cross multiply
   10,238.81x = 14,126.73 × 5,762.30
4. Step 4: Simplify right side
   10,238.81x = 81,402,456.28
5. Step 5: Solve for x
   x = 81,402,456.28/10,238.81
6. Step 6: Final answer
   x = 7,950.38