Finding the Fourth Proportional to 2,581.83, 3,562.89 and 1,462.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.83 : 3,562.89 = 1,462.75 : x
2. Step 2: Convert to fraction form
   2,581.83/3,562.89 = 1,462.75/x
3. Step 3: Cross multiply
   2,581.83x = 3,562.89 × 1,462.75
4. Step 4: Simplify right side
   2,581.83x = 5,211,617.35
5. Step 5: Solve for x
   x = 5,211,617.35/2,581.83
6. Step 6: Final answer
   x = 2,018.57