Finding the Fourth Proportional to 11,441.22, 15,785.37 and 7,658.39

Step by Step Solution

1. Step 1: Write the proportion equation
   11,441.22 : 15,785.37 = 7,658.39 : x
2. Step 2: Convert to fraction form
   11,441.22/15,785.37 = 7,658.39/x
3. Step 3: Cross multiply
   11,441.22x = 15,785.37 × 7,658.39
4. Step 4: Simplify right side
   11,441.22x = 120,890,440.83
5. Step 5: Solve for x
   x = 120,890,440.83/11,441.22
6. Step 6: Final answer
   x = 10,566.22