Finding the Fourth Proportional to 3,856.80, 5,323.92 and 2,461.60

Step by Step Solution

1. Step 1: Write the proportion equation
   3,856.80 : 5,323.92 = 2,461.60 : x
2. Step 2: Convert to fraction form
   3,856.80/5,323.92 = 2,461.60/x
3. Step 3: Cross multiply
   3,856.80x = 5,323.92 × 2,461.60
4. Step 4: Simplify right side
   3,856.80x = 13,105,361.47
5. Step 5: Solve for x
   x = 13,105,361.47/3,856.80
6. Step 6: Final answer
   x = 3,397.99