Finding the Fourth Proportional to 8,142.10, 12,215.33 and 3,462.32

Step by Step Solution

1. Step 1: Write the proportion equation
   8,142.10 : 12,215.33 = 3,462.32 : x
2. Step 2: Convert to fraction form
   8,142.10/12,215.33 = 3,462.32/x
3. Step 3: Cross multiply
   8,142.10x = 12,215.33 × 3,462.32
4. Step 4: Simplify right side
   8,142.10x = 42,293,381.37
5. Step 5: Solve for x
   x = 42,293,381.37/8,142.10
6. Step 6: Final answer
   x = 5,194.41