Finding the Fourth Proportional to 9,517.56, 13,132.70 and 5,978.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,517.56 : 13,132.70 = 5,978.26 : x
2. Step 2: Convert to fraction form
   9,517.56/13,132.70 = 5,978.26/x
3. Step 3: Cross multiply
   9,517.56x = 13,132.70 × 5,978.26
4. Step 4: Simplify right side
   9,517.56x = 78,510,695.10
5. Step 5: Solve for x
   x = 78,510,695.10/9,517.56
6. Step 6: Final answer
   x = 8,249.04