Finding the Fourth Proportional to 2,644.67, 3,649.50 and 1,465.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,644.67 : 3,649.50 = 1,465.71 : x
2. Step 2: Convert to fraction form
   2,644.67/3,649.50 = 1,465.71/x
3. Step 3: Cross multiply
   2,644.67x = 3,649.50 × 1,465.71
4. Step 4: Simplify right side
   2,644.67x = 5,349,108.65
5. Step 5: Solve for x
   x = 5,349,108.65/2,644.67
6. Step 6: Final answer
   x = 2,022.60