Finding the Fourth Proportional to 2,581.75, 3,871.42 and 1,265.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.75 : 3,871.42 = 1,265.56 : x
2. Step 2: Convert to fraction form
   2,581.75/3,871.42 = 1,265.56/x
3. Step 3: Cross multiply
   2,581.75x = 3,871.42 × 1,265.56
4. Step 4: Simplify right side
   2,581.75x = 4,899,523.23
5. Step 5: Solve for x
   x = 4,899,523.23/2,581.75
6. Step 6: Final answer
   x = 1,897.76