Finding the Fourth Proportional to 1,349.76, 1,863 and 1,257.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,349.76 : 1,863 = 1,257.42 : x
2. Step 2: Convert to fraction form
   1,349.76/1,863 = 1,257.42/x
3. Step 3: Cross multiply
   1,349.76x = 1,863 × 1,257.42
4. Step 4: Simplify right side
   1,349.76x = 2,342,580.45
5. Step 5: Solve for x
   x = 2,342,580.45/1,349.76
6. Step 6: Final answer
   x = 1,735.55