Finding the Fourth Proportional to 2,581.56, 3,561.68 and 1,462.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.56 : 3,561.68 = 1,462.38 : x
2. Step 2: Convert to fraction form
   2,581.56/3,561.68 = 1,462.38/x
3. Step 3: Cross multiply
   2,581.56x = 3,561.68 × 1,462.38
4. Step 4: Simplify right side
   2,581.56x = 5,208,529.60
5. Step 5: Solve for x
   x = 5,208,529.60/2,581.56
6. Step 6: Final answer
   x = 2,017.59