Finding the Fourth Proportional to 2,555.36, 3,834.72 and 1,256.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,555.36 : 3,834.72 = 1,256.84 : x
2. Step 2: Convert to fraction form
   2,555.36/3,834.72 = 1,256.84/x
3. Step 3: Cross multiply
   2,555.36x = 3,834.72 × 1,256.84
4. Step 4: Simplify right side
   2,555.36x = 4,819,629.48
5. Step 5: Solve for x
   x = 4,819,629.48/2,555.36
6. Step 6: Final answer
   x = 1,886.09