Finding the Fourth Proportional to 2,584.32, 3,563.16 and 2,185.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.32 : 3,563.16 = 2,185.26 : x
2. Step 2: Convert to fraction form
   2,584.32/3,563.16 = 2,185.26/x
3. Step 3: Cross multiply
   2,584.32x = 3,563.16 × 2,185.26
4. Step 4: Simplify right side
   2,584.32x = 7,786,431.02
5. Step 5: Solve for x
   x = 7,786,431.02/2,584.32
6. Step 6: Final answer
   x = 3,012.95