Finding the Fourth Proportional to 9,586.56, 13,229.76 and 5,395.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,586.56 : 13,229.76 = 5,395.20 : x
2. Step 2: Convert to fraction form
   9,586.56/13,229.76 = 5,395.20/x
3. Step 3: Cross multiply
   9,586.56x = 13,229.76 × 5,395.20
4. Step 4: Simplify right side
   9,586.56x = 71,377,201.15
5. Step 5: Solve for x
   x = 71,377,201.15/9,586.56
6. Step 6: Final answer
   x = 7,445.55