Finding the Fourth Proportional to 2,557.75, 3,837.30 and 826.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.75 : 3,837.30 = 826.42 : x
2. Step 2: Convert to fraction form
   2,557.75/3,837.30 = 826.42/x
3. Step 3: Cross multiply
   2,557.75x = 3,837.30 × 826.42
4. Step 4: Simplify right side
   2,557.75x = 3,171,221.47
5. Step 5: Solve for x
   x = 3,171,221.47/2,557.75
6. Step 6: Final answer
   x = 1,239.85