Finding the Fourth Proportional to 9,540.33, 13,165.32 and 5,561.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,540.33 : 13,165.32 = 5,561.61 : x
2. Step 2: Convert to fraction form
   9,540.33/13,165.32 = 5,561.61/x
3. Step 3: Cross multiply
   9,540.33x = 13,165.32 × 5,561.61
4. Step 4: Simplify right side
   9,540.33x = 73,220,375.37
5. Step 5: Solve for x
   x = 73,220,375.37/9,540.33
6. Step 6: Final answer
   x = 7,674.83