Finding the Fourth Proportional to 2,584.02, 3,563.85 and 1,587.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.02 : 3,563.85 = 1,587.52 : x
2. Step 2: Convert to fraction form
   2,584.02/3,563.85 = 1,587.52/x
3. Step 3: Cross multiply
   2,584.02x = 3,563.85 × 1,587.52
4. Step 4: Simplify right side
   2,584.02x = 5,657,683.15
5. Step 5: Solve for x
   x = 5,657,683.15/2,584.02
6. Step 6: Final answer
   x = 2,189.49