Finding the Fourth Proportional to 3,871.10, 5,340.66 and 2,377.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,871.10 : 5,340.66 = 2,377.82 : x
2. Step 2: Convert to fraction form
   3,871.10/5,340.66 = 2,377.82/x
3. Step 3: Cross multiply
   3,871.10x = 5,340.66 × 2,377.82
4. Step 4: Simplify right side
   3,871.10x = 12,699,128.16
5. Step 5: Solve for x
   x = 12,699,128.16/3,871.10
6. Step 6: Final answer
   x = 3,280.50