Finding the Fourth Proportional to 2,258.43, 3,116.64 and 1,314.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,258.43 : 3,116.64 = 1,314.78 : x
2. Step 2: Convert to fraction form
   2,258.43/3,116.64 = 1,314.78/x
3. Step 3: Cross multiply
   2,258.43x = 3,116.64 × 1,314.78
4. Step 4: Simplify right side
   2,258.43x = 4,097,695.94
5. Step 5: Solve for x
   x = 4,097,695.94/2,258.43
6. Step 6: Final answer
   x = 1,814.40