Finding the Fourth Proportional to 2,581.74, 3,563.31 and 1,462.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.74 : 3,563.31 = 1,462.68 : x
2. Step 2: Convert to fraction form
   2,581.74/3,563.31 = 1,462.68/x
3. Step 3: Cross multiply
   2,581.74x = 3,563.31 × 1,462.68
4. Step 4: Simplify right side
   2,581.74x = 5,211,982.27
5. Step 5: Solve for x
   x = 5,211,982.27/2,581.74
6. Step 6: Final answer
   x = 2,018.79