Finding the Fourth Proportional to 2,508.80, 3,462.06 and 1,446.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,508.80 : 3,462.06 = 1,446.57 : x
2. Step 2: Convert to fraction form
   2,508.80/3,462.06 = 1,446.57/x
3. Step 3: Cross multiply
   2,508.80x = 3,462.06 × 1,446.57
4. Step 4: Simplify right side
   2,508.80x = 5,008,112.13
5. Step 5: Solve for x
   x = 5,008,112.13/2,508.80
6. Step 6: Final answer
   x = 1,996.22