Finding the Fourth Proportional to 2,584.80, 3,870.72 and 2,062.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.80 : 3,870.72 = 2,062.56 : x
2. Step 2: Convert to fraction form
   2,584.80/3,870.72 = 2,062.56/x
3. Step 3: Cross multiply
   2,584.80x = 3,870.72 × 2,062.56
4. Step 4: Simplify right side
   2,584.80x = 7,983,592.24
5. Step 5: Solve for x
   x = 7,983,592.24/2,584.80
6. Step 6: Final answer
   x = 3,088.67