Finding the Fourth Proportional to 2,078, 3,115.56 and 1,256.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,078 : 3,115.56 = 1,256.48 : x
2. Step 2: Convert to fraction form
   2,078/3,115.56 = 1,256.48/x
3. Step 3: Cross multiply
   2,078x = 3,115.56 × 1,256.48
4. Step 4: Simplify right side
   2,078x = 3,914,638.83
5. Step 5: Solve for x
   x = 3,914,638.83/2,078
6. Step 6: Final answer
   x = 1,883.85