Finding the Fourth Proportional to 2,584.98, 3,564.14 and 2,185.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.98 : 3,564.14 = 2,185.94 : x
2. Step 2: Convert to fraction form
   2,584.98/3,564.14 = 2,185.94/x
3. Step 3: Cross multiply
   2,584.98x = 3,564.14 × 2,185.94
4. Step 4: Simplify right side
   2,584.98x = 7,790,974.12
5. Step 5: Solve for x
   x = 7,790,974.12/2,584.98
6. Step 6: Final answer
   x = 3,013.94