Finding the Fourth Proportional to 9,577.28, 13,216.56 and 5,385.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,577.28 : 13,216.56 = 5,385.56 : x
2. Step 2: Convert to fraction form
   9,577.28/13,216.56 = 5,385.56/x
3. Step 3: Cross multiply
   9,577.28x = 13,216.56 × 5,385.56
4. Step 4: Simplify right side
   9,577.28x = 71,178,576.87
5. Step 5: Solve for x
   x = 71,178,576.87/9,577.28
6. Step 6: Final answer
   x = 7,432.02