Finding the Fourth Proportional to 10,238.16, 14,128.72 and 5,762

Step by Step Solution

1. Step 1: Write the proportion equation
   10,238.16 : 14,128.72 = 5,762 : x
2. Step 2: Convert to fraction form
   10,238.16/14,128.72 = 5,762/x
3. Step 3: Cross multiply
   10,238.16x = 14,128.72 × 5,762
4. Step 4: Simplify right side
   10,238.16x = 81,409,684.64
5. Step 5: Solve for x
   x = 81,409,684.64/10,238.16
6. Step 6: Final answer
   x = 7,951.59