Finding the Fourth Proportional to 9,414.81, 12,986.10 and 7,877.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.81 : 12,986.10 = 7,877.43 : x
2. Step 2: Convert to fraction form
   9,414.81/12,986.10 = 7,877.43/x
3. Step 3: Cross multiply
   9,414.81x = 12,986.10 × 7,877.43
4. Step 4: Simplify right side
   9,414.81x = 102,297,093.72
5. Step 5: Solve for x
   x = 102,297,093.72/9,414.81
6. Step 6: Final answer
   x = 10,865.55