Finding the Fourth Proportional to 9,114.97, 12,578.82 and 5,971.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.97 : 12,578.82 = 5,971.16 : x
2. Step 2: Convert to fraction form
   9,114.97/12,578.82 = 5,971.16/x
3. Step 3: Cross multiply
   9,114.97x = 12,578.82 × 5,971.16
4. Step 4: Simplify right side
   9,114.97x = 75,110,146.83
5. Step 5: Solve for x
   x = 75,110,146.83/9,114.97
6. Step 6: Final answer
   x = 8,240.31