Finding the Fourth Proportional to 2,644.24, 3,648.74 and 1,465.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,644.24 : 3,648.74 = 1,465.02 : x
2. Step 2: Convert to fraction form
   2,644.24/3,648.74 = 1,465.02/x
3. Step 3: Cross multiply
   2,644.24x = 3,648.74 × 1,465.02
4. Step 4: Simplify right side
   2,644.24x = 5,345,477.07
5. Step 5: Solve for x
   x = 5,345,477.07/2,644.24
6. Step 6: Final answer
   x = 2,021.56