Finding the Fourth Proportional to 9,577.45, 13,216.84 and 5,597.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,577.45 : 13,216.84 = 5,597.76 : x
2. Step 2: Convert to fraction form
   9,577.45/13,216.84 = 5,597.76/x
3. Step 3: Cross multiply
   9,577.45x = 13,216.84 × 5,597.76
4. Step 4: Simplify right side
   9,577.45x = 73,984,698.28
5. Step 5: Solve for x
   x = 73,984,698.28/9,577.45
6. Step 6: Final answer
   x = 7,724.88