Finding the Fourth Proportional to 2,581.60, 3,562.74 and 1,462.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.60 : 3,562.74 = 1,462.60 : x
2. Step 2: Convert to fraction form
   2,581.60/3,562.74 = 1,462.60/x
3. Step 3: Cross multiply
   2,581.60x = 3,562.74 × 1,462.60
4. Step 4: Simplify right side
   2,581.60x = 5,210,863.52
5. Step 5: Solve for x
   x = 5,210,863.52/2,581.60
6. Step 6: Final answer
   x = 2,018.46