Finding the Fourth Proportional to 2,774, 3,826.56 and 1,828.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,774 : 3,826.56 = 1,828.82 : x
2. Step 2: Convert to fraction form
   2,774/3,826.56 = 1,828.82/x
3. Step 3: Cross multiply
   2,774x = 3,826.56 × 1,828.82
4. Step 4: Simplify right side
   2,774x = 6,998,089.46
5. Step 5: Solve for x
   x = 6,998,089.46/2,774
6. Step 6: Final answer
   x = 2,522.74