Finding the Fourth Proportional to 2,644.10, 3,648.88 and 1,465.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,644.10 : 3,648.88 = 1,465.14 : x
2. Step 2: Convert to fraction form
   2,644.10/3,648.88 = 1,465.14/x
3. Step 3: Cross multiply
   2,644.10x = 3,648.88 × 1,465.14
4. Step 4: Simplify right side
   2,644.10x = 5,346,120.04
5. Step 5: Solve for x
   x = 5,346,120.04/2,644.10
6. Step 6: Final answer
   x = 2,021.91