Finding the Fourth Proportional to 9,542.61, 13,168.88 and 5,564.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,542.61 : 13,168.88 = 5,564.09 : x
2. Step 2: Convert to fraction form
   9,542.61/13,168.88 = 5,564.09/x
3. Step 3: Cross multiply
   9,542.61x = 13,168.88 × 5,564.09
4. Step 4: Simplify right side
   9,542.61x = 73,272,859.49
5. Step 5: Solve for x
   x = 73,272,859.49/9,542.61
6. Step 6: Final answer
   x = 7,678.49