Finding the Fourth Proportional to 9,788.72, 13,509.16 and 5,597.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,788.72 : 13,509.16 = 5,597.20 : x
2. Step 2: Convert to fraction form
   9,788.72/13,509.16 = 5,597.20/x
3. Step 3: Cross multiply
   9,788.72x = 13,509.16 × 5,597.20
4. Step 4: Simplify right side
   9,788.72x = 75,613,470.35
5. Step 5: Solve for x
   x = 75,613,470.35/9,788.72
6. Step 6: Final answer
   x = 7,724.55