Finding the Fourth Proportional to 2,078.35, 3,115.96 and 1,256.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,078.35 : 3,115.96 = 1,256.46 : x
2. Step 2: Convert to fraction form
   2,078.35/3,115.96 = 1,256.46/x
3. Step 3: Cross multiply
   2,078.35x = 3,115.96 × 1,256.46
4. Step 4: Simplify right side
   2,078.35x = 3,915,079.10
5. Step 5: Solve for x
   x = 3,915,079.10/2,078.35
6. Step 6: Final answer
   x = 1,883.74