Finding the Fourth Proportional to 2,162.31, 2,984.90 and 1,464.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,162.31 : 2,984.90 = 1,464.09 : x
2. Step 2: Convert to fraction form
   2,162.31/2,984.90 = 1,464.09/x
3. Step 3: Cross multiply
   2,162.31x = 2,984.90 × 1,464.09
4. Step 4: Simplify right side
   2,162.31x = 4,370,154.92
5. Step 5: Solve for x
   x = 4,370,154.92/2,162.31
6. Step 6: Final answer
   x = 2,021.06