Finding the Fourth Proportional to 2,107.86, 3,162.20 and 809.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,107.86 : 3,162.20 = 809.23 : x
2. Step 2: Convert to fraction form
   2,107.86/3,162.20 = 809.23/x
3. Step 3: Cross multiply
   2,107.86x = 3,162.20 × 809.23
4. Step 4: Simplify right side
   2,107.86x = 2,558,935.15
5. Step 5: Solve for x
   x = 2,558,935.15/2,107.86
6. Step 6: Final answer
   x = 1,214.00