Finding the Fourth Proportional to 9,542.20, 13,167.42 and 5,563.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,542.20 : 13,167.42 = 5,563.69 : x
2. Step 2: Convert to fraction form
   9,542.20/13,167.42 = 5,563.69/x
3. Step 3: Cross multiply
   9,542.20x = 13,167.42 × 5,563.69
4. Step 4: Simplify right side
   9,542.20x = 73,259,442.98
5. Step 5: Solve for x
   x = 73,259,442.98/9,542.20
6. Step 6: Final answer
   x = 7,677.42