Finding the Fourth Proportional to 2,581.74, 3,562.25 and 1,462.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.74 : 3,562.25 = 1,462.59 : x
2. Step 2: Convert to fraction form
   2,581.74/3,562.25 = 1,462.59/x
3. Step 3: Cross multiply
   2,581.74x = 3,562.25 × 1,462.59
4. Step 4: Simplify right side
   2,581.74x = 5,210,103.91
5. Step 5: Solve for x
   x = 5,210,103.91/2,581.74
6. Step 6: Final answer
   x = 2,018.06