Finding the Fourth Proportional to 2,508.90, 3,462.40 and 1,446.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,508.90 : 3,462.40 = 1,446.82 : x
2. Step 2: Convert to fraction form
   2,508.90/3,462.40 = 1,446.82/x
3. Step 3: Cross multiply
   2,508.90x = 3,462.40 × 1,446.82
4. Step 4: Simplify right side
   2,508.90x = 5,009,469.57
5. Step 5: Solve for x
   x = 5,009,469.57/2,508.90
6. Step 6: Final answer
   x = 1,996.68