Finding the Fourth Proportional to 9,114.66, 12,578.49 and 5,340.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.66 : 12,578.49 = 5,340.33 : x
2. Step 2: Convert to fraction form
   9,114.66/12,578.49 = 5,340.33/x
3. Step 3: Cross multiply
   9,114.66x = 12,578.49 × 5,340.33
4. Step 4: Simplify right side
   9,114.66x = 67,173,287.50
5. Step 5: Solve for x
   x = 67,173,287.50/9,114.66
6. Step 6: Final answer
   x = 7,369.81