Finding the Fourth Proportional to 9,540.16, 13,165.52 and 5,563.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,540.16 : 13,165.52 = 5,563.68 : x
2. Step 2: Convert to fraction form
   9,540.16/13,165.52 = 5,563.68/x
3. Step 3: Cross multiply
   9,540.16x = 13,165.52 × 5,563.68
4. Step 4: Simplify right side
   9,540.16x = 73,248,740.31
5. Step 5: Solve for x
   x = 73,248,740.31/9,540.16
6. Step 6: Final answer
   x = 7,677.94