Finding the Fourth Proportional to 2,642.72, 3,647.16 and 1,464.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.72 : 3,647.16 = 1,464.04 : x
2. Step 2: Convert to fraction form
   2,642.72/3,647.16 = 1,464.04/x
3. Step 3: Cross multiply
   2,642.72x = 3,647.16 × 1,464.04
4. Step 4: Simplify right side
   2,642.72x = 5,339,588.13
5. Step 5: Solve for x
   x = 5,339,588.13/2,642.72
6. Step 6: Final answer
   x = 2,020.49