Finding the Fourth Proportional to 2,642.90, 3,646.83 and 1,464.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.90 : 3,646.83 = 1,464.04 : x
2. Step 2: Convert to fraction form
   2,642.90/3,646.83 = 1,464.04/x
3. Step 3: Cross multiply
   2,642.90x = 3,646.83 × 1,464.04
4. Step 4: Simplify right side
   2,642.90x = 5,339,104.99
5. Step 5: Solve for x
   x = 5,339,104.99/2,642.90
6. Step 6: Final answer
   x = 2,020.17