Finding the Fourth Proportional to 9,546.24, 13,168.72 and 5,565.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,546.24 : 13,168.72 = 5,565.90 : x
2. Step 2: Convert to fraction form
   9,546.24/13,168.72 = 5,565.90/x
3. Step 3: Cross multiply
   9,546.24x = 13,168.72 × 5,565.90
4. Step 4: Simplify right side
   9,546.24x = 73,295,712.80
5. Step 5: Solve for x
   x = 73,295,712.80/9,546.24
6. Step 6: Final answer
   x = 7,677.97