Finding the Fourth Proportional to 9,414.09, 12,986.04 and 5,871.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.09 : 12,986.04 = 5,871.15 : x
2. Step 2: Convert to fraction form
   9,414.09/12,986.04 = 5,871.15/x
3. Step 3: Cross multiply
   9,414.09x = 12,986.04 × 5,871.15
4. Step 4: Simplify right side
   9,414.09x = 76,242,988.75
5. Step 5: Solve for x
   x = 76,242,988.75/9,414.09
6. Step 6: Final answer
   x = 8,098.82