Finding the Fourth Proportional to 2,774.63, 4,162.46 and 826.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,774.63 : 4,162.46 = 826.61 : x
2. Step 2: Convert to fraction form
   2,774.63/4,162.46 = 826.61/x
3. Step 3: Cross multiply
   2,774.63x = 4,162.46 × 826.61
4. Step 4: Simplify right side
   2,774.63x = 3,440,726.93
5. Step 5: Solve for x
   x = 3,440,726.93/2,774.63
6. Step 6: Final answer
   x = 1,240.07