Finding the Fourth Proportional to 2,575.40, 3,857.60 and 1,257.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575.40 : 3,857.60 = 1,257.12 : x
2. Step 2: Convert to fraction form
   2,575.40/3,857.60 = 1,257.12/x
3. Step 3: Cross multiply
   2,575.40x = 3,857.60 × 1,257.12
4. Step 4: Simplify right side
   2,575.40x = 4,849,469.25
5. Step 5: Solve for x
   x = 4,849,469.25/2,575.40
6. Step 6: Final answer
   x = 1,883.00