Finding the Fourth Proportional to 2,581.64, 3,562.69 and 1,462.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.64 : 3,562.69 = 1,462.55 : x
2. Step 2: Convert to fraction form
   2,581.64/3,562.69 = 1,462.55/x
3. Step 3: Cross multiply
   2,581.64x = 3,562.69 × 1,462.55
4. Step 4: Simplify right side
   2,581.64x = 5,210,609.40
5. Step 5: Solve for x
   x = 5,210,609.40/2,581.64
6. Step 6: Final answer
   x = 2,018.34