Finding the Fourth Proportional to 2,142.27, 2,956.50 and 1,257.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.27 : 2,956.50 = 1,257.75 : x
2. Step 2: Convert to fraction form
   2,142.27/2,956.50 = 1,257.75/x
3. Step 3: Cross multiply
   2,142.27x = 2,956.50 × 1,257.75
4. Step 4: Simplify right side
   2,142.27x = 3,718,537.88
5. Step 5: Solve for x
   x = 3,718,537.88/2,142.27
6. Step 6: Final answer
   x = 1,735.79