Finding the Fourth Proportional to 2,581.84, 3,562.82 and 1,462.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.84 : 3,562.82 = 1,462.75 : x
2. Step 2: Convert to fraction form
   2,581.84/3,562.82 = 1,462.75/x
3. Step 3: Cross multiply
   2,581.84x = 3,562.82 × 1,462.75
4. Step 4: Simplify right side
   2,581.84x = 5,211,535.44
5. Step 5: Solve for x
   x = 5,211,535.44/2,581.84
6. Step 6: Final answer
   x = 2,018.54