Finding the Fourth Proportional to 2,164.26, 2,989.10 and 1,464.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,164.26 : 2,989.10 = 1,464.42 : x
2. Step 2: Convert to fraction form
   2,164.26/2,989.10 = 1,464.42/x
3. Step 3: Cross multiply
   2,164.26x = 2,989.10 × 1,464.42
4. Step 4: Simplify right side
   2,164.26x = 4,377,297.82
5. Step 5: Solve for x
   x = 4,377,297.82/2,164.26
6. Step 6: Final answer
   x = 2,022.54