Finding the Fourth Proportional to 2,584.67, 3,874.81 and 1,025.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.67 : 3,874.81 = 1,025.77 : x
2. Step 2: Convert to fraction form
   2,584.67/3,874.81 = 1,025.77/x
3. Step 3: Cross multiply
   2,584.67x = 3,874.81 × 1,025.77
4. Step 4: Simplify right side
   2,584.67x = 3,974,663.85
5. Step 5: Solve for x
   x = 3,974,663.85/2,584.67
6. Step 6: Final answer
   x = 1,537.78