Finding the Fourth Proportional to 9,566.28, 13,198.20 and 5,978.79

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566.28 : 13,198.20 = 5,978.79 : x
2. Step 2: Convert to fraction form
   9,566.28/13,198.20 = 5,978.79/x
3. Step 3: Cross multiply
   9,566.28x = 13,198.20 × 5,978.79
4. Step 4: Simplify right side
   9,566.28x = 78,909,266.18
5. Step 5: Solve for x
   x = 78,909,266.18/9,566.28
6. Step 6: Final answer
   x = 8,248.69