Finding the Fourth Proportional to 2,584.47, 3,563.42 and 2,185.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.47 : 3,563.42 = 2,185.41 : x
2. Step 2: Convert to fraction form
   2,584.47/3,563.42 = 2,185.41/x
3. Step 3: Cross multiply
   2,584.47x = 3,563.42 × 2,185.41
4. Step 4: Simplify right side
   2,584.47x = 7,787,539.17
5. Step 5: Solve for x
   x = 7,787,539.17/2,584.47
6. Step 6: Final answer
   x = 3,013.21