Finding the Fourth Proportional to 2,107.92, 3,162.24 and 809.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,107.92 : 3,162.24 = 809.52 : x
2. Step 2: Convert to fraction form
   2,107.92/3,162.24 = 809.52/x
3. Step 3: Cross multiply
   2,107.92x = 3,162.24 × 809.52
4. Step 4: Simplify right side
   2,107.92x = 2,559,896.52
5. Step 5: Solve for x
   x = 2,559,896.52/2,107.92
6. Step 6: Final answer
   x = 1,214.42