Finding the Fourth Proportional to 9,116.28, 12,578.54 and 5,339.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.28 : 12,578.54 = 5,339.78 : x
2. Step 2: Convert to fraction form
   9,116.28/12,578.54 = 5,339.78/x
3. Step 3: Cross multiply
   9,116.28x = 12,578.54 × 5,339.78
4. Step 4: Simplify right side
   9,116.28x = 67,166,636.32
5. Step 5: Solve for x
   x = 67,166,636.32/9,116.28
6. Step 6: Final answer
   x = 7,367.77