Finding the Fourth Proportional to 8,142.54, 12,213.84 and 3,461.88

Step by Step Solution

1. Step 1: Write the proportion equation
   8,142.54 : 12,213.84 = 3,461.88 : x
2. Step 2: Convert to fraction form
   8,142.54/12,213.84 = 3,461.88/x
3. Step 3: Cross multiply
   8,142.54x = 12,213.84 × 3,461.88
4. Step 4: Simplify right side
   8,142.54x = 42,282,848.42
5. Step 5: Solve for x
   x = 42,282,848.42/8,142.54
6. Step 6: Final answer
   x = 5,192.83