Finding the Fourth Proportional to 2,078.85, 3,116.72 and 1,256.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,078.85 : 3,116.72 = 1,256.96 : x
2. Step 2: Convert to fraction form
   2,078.85/3,116.72 = 1,256.96/x
3. Step 3: Cross multiply
   2,078.85x = 3,116.72 × 1,256.96
4. Step 4: Simplify right side
   2,078.85x = 3,917,570.50
5. Step 5: Solve for x
   x = 3,917,570.50/2,078.85
6. Step 6: Final answer
   x = 1,884.49