Finding the Fourth Proportional to 8,095.80, 12,142.74 and 3,478.20

Step by Step Solution

1. Step 1: Write the proportion equation
   8,095.80 : 12,142.74 = 3,478.20 : x
2. Step 2: Convert to fraction form
   8,095.80/12,142.74 = 3,478.20/x
3. Step 3: Cross multiply
   8,095.80x = 12,142.74 × 3,478.20
4. Step 4: Simplify right side
   8,095.80x = 42,234,878.27
5. Step 5: Solve for x
   x = 42,234,878.27/8,095.80
6. Step 6: Final answer
   x = 5,216.89