Finding the Fourth Proportional to 2,642.96, 3,647.49 and 1,464.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.96 : 3,647.49 = 1,464.14 : x
2. Step 2: Convert to fraction form
   2,642.96/3,647.49 = 1,464.14/x
3. Step 3: Cross multiply
   2,642.96x = 3,647.49 × 1,464.14
4. Step 4: Simplify right side
   2,642.96x = 5,340,436.01
5. Step 5: Solve for x
   x = 5,340,436.01/2,642.96
6. Step 6: Final answer
   x = 2,020.63