Finding the Fourth Proportional to 9,942.56, 14,915.64 and 8,109.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,942.56 : 14,915.64 = 8,109.92 : x
2. Step 2: Convert to fraction form
   9,942.56/14,915.64 = 8,109.92/x
3. Step 3: Cross multiply
   9,942.56x = 14,915.64 × 8,109.92
4. Step 4: Simplify right side
   9,942.56x = 120,964,647.15
5. Step 5: Solve for x
   x = 120,964,647.15/9,942.56
6. Step 6: Final answer
   x = 12,166.35