Finding the Fourth Proportional to 9,577.20, 13,216.50 and 5,597.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,577.20 : 13,216.50 = 5,597.52 : x
2. Step 2: Convert to fraction form
   9,577.20/13,216.50 = 5,597.52/x
3. Step 3: Cross multiply
   9,577.20x = 13,216.50 × 5,597.52
4. Step 4: Simplify right side
   9,577.20x = 73,979,623.08
5. Step 5: Solve for x
   x = 73,979,623.08/9,577.20
6. Step 6: Final answer
   x = 7,724.56