Finding the Fourth Proportional to 2,557.45, 3,836.17 and 826.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.45 : 3,836.17 = 826.07 : x
2. Step 2: Convert to fraction form
   2,557.45/3,836.17 = 826.07/x
3. Step 3: Cross multiply
   2,557.45x = 3,836.17 × 826.07
4. Step 4: Simplify right side
   2,557.45x = 3,168,944.95
5. Step 5: Solve for x
   x = 3,168,944.95/2,557.45
6. Step 6: Final answer
   x = 1,239.10