Finding the Fourth Proportional to 8,142.13, 12,210.75 and 3,462.12

Step by Step Solution

1. Step 1: Write the proportion equation
   8,142.13 : 12,210.75 = 3,462.12 : x
2. Step 2: Convert to fraction form
   8,142.13/12,210.75 = 3,462.12/x
3. Step 3: Cross multiply
   8,142.13x = 12,210.75 × 3,462.12
4. Step 4: Simplify right side
   8,142.13x = 42,275,081.79
5. Step 5: Solve for x
   x = 42,275,081.79/8,142.13
6. Step 6: Final answer
   x = 5,192.14