Finding the Fourth Proportional to 2,583.20, 3,564.72 and 1,464.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.20 : 3,564.72 = 1,464.16 : x
2. Step 2: Convert to fraction form
   2,583.20/3,564.72 = 1,464.16/x
3. Step 3: Cross multiply
   2,583.20x = 3,564.72 × 1,464.16
4. Step 4: Simplify right side
   2,583.20x = 5,219,320.44
5. Step 5: Solve for x
   x = 5,219,320.44/2,583.20
6. Step 6: Final answer
   x = 2,020.49