Finding the Fourth Proportional to 13,938.72, 19,234.78 and 7,565.17

Step by Step Solution

1. Step 1: Write the proportion equation
   13,938.72 : 19,234.78 = 7,565.17 : x
2. Step 2: Convert to fraction form
   13,938.72/19,234.78 = 7,565.17/x
3. Step 3: Cross multiply
   13,938.72x = 19,234.78 × 7,565.17
4. Step 4: Simplify right side
   13,938.72x = 145,514,313.61
5. Step 5: Solve for x
   x = 145,514,313.61/13,938.72
6. Step 6: Final answer
   x = 10,439.58