Finding the Fourth Proportional to 2,164.59, 2,984.85 and 1,464.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,164.59 : 2,984.85 = 1,464.75 : x
2. Step 2: Convert to fraction form
   2,164.59/2,984.85 = 1,464.75/x
3. Step 3: Cross multiply
   2,164.59x = 2,984.85 × 1,464.75
4. Step 4: Simplify right side
   2,164.59x = 4,372,059.04
5. Step 5: Solve for x
   x = 4,372,059.04/2,164.59
6. Step 6: Final answer
   x = 2,019.81