Finding the Fourth Proportional to 2,581.06, 3,561.96 and 1,462.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.06 : 3,561.96 = 1,462.05 : x
2. Step 2: Convert to fraction form
   2,581.06/3,561.96 = 1,462.05/x
3. Step 3: Cross multiply
   2,581.06x = 3,561.96 × 1,462.05
4. Step 4: Simplify right side
   2,581.06x = 5,207,763.62
5. Step 5: Solve for x
   x = 5,207,763.62/2,581.06
6. Step 6: Final answer
   x = 2,017.68