Finding the Fourth Proportional to 2,291.76, 3,431.56 and 1,826.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,291.76 : 3,431.56 = 1,826.42 : x
2. Step 2: Convert to fraction form
   2,291.76/3,431.56 = 1,826.42/x
3. Step 3: Cross multiply
   2,291.76x = 3,431.56 × 1,826.42
4. Step 4: Simplify right side
   2,291.76x = 6,267,469.82
5. Step 5: Solve for x
   x = 6,267,469.82/2,291.76
6. Step 6: Final answer
   x = 2,734.78