Finding the Fourth Proportional to 1,472.42, 2,031.96 and 809.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,472.42 : 2,031.96 = 809.27 : x
2. Step 2: Convert to fraction form
   1,472.42/2,031.96 = 809.27/x
3. Step 3: Cross multiply
   1,472.42x = 2,031.96 × 809.27
4. Step 4: Simplify right side
   1,472.42x = 1,644,406.31
5. Step 5: Solve for x
   x = 1,644,406.31/1,472.42
6. Step 6: Final answer
   x = 1,116.81