Finding the Fourth Proportional to 8,142.06, 12,214.68 and 3,462.02

Step by Step Solution

1. Step 1: Write the proportion equation
   8,142.06 : 12,214.68 = 3,462.02 : x
2. Step 2: Convert to fraction form
   8,142.06/12,214.68 = 3,462.02/x
3. Step 3: Cross multiply
   8,142.06x = 12,214.68 × 3,462.02
4. Step 4: Simplify right side
   8,142.06x = 42,287,466.45
5. Step 5: Solve for x
   x = 42,287,466.45/8,142.06
6. Step 6: Final answer
   x = 5,193.71