Finding the Fourth Proportional to 2,557.71, 3,836.52 and 826.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.71 : 3,836.52 = 826.34 : x
2. Step 2: Convert to fraction form
   2,557.71/3,836.52 = 826.34/x
3. Step 3: Cross multiply
   2,557.71x = 3,836.52 × 826.34
4. Step 4: Simplify right side
   2,557.71x = 3,170,250.75
5. Step 5: Solve for x
   x = 3,170,250.75/2,557.71
6. Step 6: Final answer
   x = 1,239.49