Finding the Fourth Proportional to 11,401.83, 15,726.18 and 7,569.09

Step by Step Solution

1. Step 1: Write the proportion equation
   11,401.83 : 15,726.18 = 7,569.09 : x
2. Step 2: Convert to fraction form
   11,401.83/15,726.18 = 7,569.09/x
3. Step 3: Cross multiply
   11,401.83x = 15,726.18 × 7,569.09
4. Step 4: Simplify right side
   11,401.83x = 119,032,871.78
5. Step 5: Solve for x
   x = 119,032,871.78/11,401.83
6. Step 6: Final answer
   x = 10,439.80