Finding the Fourth Proportional to 9,116.02, 12,582.57 and 5,339.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.02 : 12,582.57 = 5,339.80 : x
2. Step 2: Convert to fraction form
   9,116.02/12,582.57 = 5,339.80/x
3. Step 3: Cross multiply
   9,116.02x = 12,582.57 × 5,339.80
4. Step 4: Simplify right side
   9,116.02x = 67,188,407.29
5. Step 5: Solve for x
   x = 67,188,407.29/9,116.02
6. Step 6: Final answer
   x = 7,370.37