Finding the Fourth Proportional to 2,581.64, 3,563.16 and 1,462.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.64 : 3,563.16 = 1,462.56 : x
2. Step 2: Convert to fraction form
   2,581.64/3,563.16 = 1,462.56/x
3. Step 3: Cross multiply
   2,581.64x = 3,563.16 × 1,462.56
4. Step 4: Simplify right side
   2,581.64x = 5,211,335.29
5. Step 5: Solve for x
   x = 5,211,335.29/2,581.64
6. Step 6: Final answer
   x = 2,018.61