Finding the Fourth Proportional to 2,583.72, 3,564.78 and 1,589.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.72 : 3,564.78 = 1,589.16 : x
2. Step 2: Convert to fraction form
   2,583.72/3,564.78 = 1,589.16/x
3. Step 3: Cross multiply
   2,583.72x = 3,564.78 × 1,589.16
4. Step 4: Simplify right side
   2,583.72x = 5,665,005.78
5. Step 5: Solve for x
   x = 5,665,005.78/2,583.72
6. Step 6: Final answer
   x = 2,192.58