Finding the Fourth Proportional to 2,596.62, 3,896.37 and 1,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.62 : 3,896.37 = 1,057.50 : x
2. Step 2: Convert to fraction form
   2,596.62/3,896.37 = 1,057.50/x
3. Step 3: Cross multiply
   2,596.62x = 3,896.37 × 1,057.50
4. Step 4: Simplify right side
   2,596.62x = 4,120,411.28
5. Step 5: Solve for x
   x = 4,120,411.28/2,596.62
6. Step 6: Final answer
   x = 1,586.84