Finding the Fourth Proportional to 3,875.50, 5,817.97 and 2,560.37

Step by Step Solution

1. Step 1: Write the proportion equation
   3,875.50 : 5,817.97 = 2,560.37 : x
2. Step 2: Convert to fraction form
   3,875.50/5,817.97 = 2,560.37/x
3. Step 3: Cross multiply
   3,875.50x = 5,817.97 × 2,560.37
4. Step 4: Simplify right side
   3,875.50x = 14,896,155.85
5. Step 5: Solve for x
   x = 14,896,155.85/3,875.50
6. Step 6: Final answer
   x = 3,843.68