Finding the Fourth Proportional to 1,557.39, 2,335.37 and 826.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,557.39 : 2,335.37 = 826.77 : x
2. Step 2: Convert to fraction form
   1,557.39/2,335.37 = 826.77/x
3. Step 3: Cross multiply
   1,557.39x = 2,335.37 × 826.77
4. Step 4: Simplify right side
   1,557.39x = 1,930,818.48
5. Step 5: Solve for x
   x = 1,930,818.48/1,557.39
6. Step 6: Final answer
   x = 1,239.78