Finding the Fourth Proportional to 10,634.61, 14,676.42 and 8,863.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,634.61 : 14,676.42 = 8,863.14 : x
2. Step 2: Convert to fraction form
   10,634.61/14,676.42 = 8,863.14/x
3. Step 3: Cross multiply
   10,634.61x = 14,676.42 × 8,863.14
4. Step 4: Simplify right side
   10,634.61x = 130,079,170.88
5. Step 5: Solve for x
   x = 130,079,170.88/10,634.61
6. Step 6: Final answer
   x = 12,231.68