Finding the Fourth Proportional to 9,114.16, 12,578.09 and 5,578.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.16 : 12,578.09 = 5,578.06 : x
2. Step 2: Convert to fraction form
   9,114.16/12,578.09 = 5,578.06/x
3. Step 3: Cross multiply
   9,114.16x = 12,578.09 × 5,578.06
4. Step 4: Simplify right side
   9,114.16x = 70,161,340.71
5. Step 5: Solve for x
   x = 70,161,340.71/9,114.16
6. Step 6: Final answer
   x = 7,698.06