Finding the Fourth Proportional to 9,548.18, 13,178.50 and 5,569.66

Step by Step Solution

1. Step 1: Write the proportion equation
   9,548.18 : 13,178.50 = 5,569.66 : x
2. Step 2: Convert to fraction form
   9,548.18/13,178.50 = 5,569.66/x
3. Step 3: Cross multiply
   9,548.18x = 13,178.50 × 5,569.66
4. Step 4: Simplify right side
   9,548.18x = 73,399,766.86
5. Step 5: Solve for x
   x = 73,399,766.86/9,548.18
6. Step 6: Final answer
   x = 7,687.31