Finding the Fourth Proportional to 2,581.65, 3,872.89 and 1,542.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.65 : 3,872.89 = 1,542.83 : x
2. Step 2: Convert to fraction form
   2,581.65/3,872.89 = 1,542.83/x
3. Step 3: Cross multiply
   2,581.65x = 3,872.89 × 1,542.83
4. Step 4: Simplify right side
   2,581.65x = 5,975,193.48
5. Step 5: Solve for x
   x = 5,975,193.48/2,581.65
6. Step 6: Final answer
   x = 2,314.48