Finding the Fourth Proportional to 2,581.62, 3,562.65 and 1,462.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.62 : 3,562.65 = 1,462.56 : x
2. Step 2: Convert to fraction form
   2,581.62/3,562.65 = 1,462.56/x
3. Step 3: Cross multiply
   2,581.62x = 3,562.65 × 1,462.56
4. Step 4: Simplify right side
   2,581.62x = 5,210,589.38
5. Step 5: Solve for x
   x = 5,210,589.38/2,581.62
6. Step 6: Final answer
   x = 2,018.34