Finding the Fourth Proportional to 2,557.52, 3,836.80 and 826.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.52 : 3,836.80 = 826.28 : x
2. Step 2: Convert to fraction form
   2,557.52/3,836.80 = 826.28/x
3. Step 3: Cross multiply
   2,557.52x = 3,836.80 × 826.28
4. Step 4: Simplify right side
   2,557.52x = 3,170,271.10
5. Step 5: Solve for x
   x = 3,170,271.10/2,557.52
6. Step 6: Final answer
   x = 1,239.59