Finding the Fourth Proportional to 8,142.14, 12,213.78 and 3,461.62

Step by Step Solution

1. Step 1: Write the proportion equation
   8,142.14 : 12,213.78 = 3,461.62 : x
2. Step 2: Convert to fraction form
   8,142.14/12,213.78 = 3,461.62/x
3. Step 3: Cross multiply
   8,142.14x = 12,213.78 × 3,461.62
4. Step 4: Simplify right side
   8,142.14x = 42,279,425.94
5. Step 5: Solve for x
   x = 42,279,425.94/8,142.14
6. Step 6: Final answer
   x = 5,192.67