Finding the Fourth Proportional to 1,631.89, 2,444.76 and 809.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,631.89 : 2,444.76 = 809.20 : x
2. Step 2: Convert to fraction form
   1,631.89/2,444.76 = 809.20/x
3. Step 3: Cross multiply
   1,631.89x = 2,444.76 × 809.20
4. Step 4: Simplify right side
   1,631.89x = 1,978,299.79
5. Step 5: Solve for x
   x = 1,978,299.79/1,631.89
6. Step 6: Final answer
   x = 1,212.28