Finding the Fourth Proportional to 2,584.56, 3,871.56 and 2,065.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.56 : 3,871.56 = 2,065.44 : x
2. Step 2: Convert to fraction form
   2,584.56/3,871.56 = 2,065.44/x
3. Step 3: Cross multiply
   2,584.56x = 3,871.56 × 2,065.44
4. Step 4: Simplify right side
   2,584.56x = 7,996,474.89
5. Step 5: Solve for x
   x = 7,996,474.89/2,584.56
6. Step 6: Final answer
   x = 3,093.94