Finding the Fourth Proportional to 1,472.38, 2,031.89 and 809.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,472.38 : 2,031.89 = 809.24 : x
2. Step 2: Convert to fraction form
   1,472.38/2,031.89 = 809.24/x
3. Step 3: Cross multiply
   1,472.38x = 2,031.89 × 809.24
4. Step 4: Simplify right side
   1,472.38x = 1,644,272.46
5. Step 5: Solve for x
   x = 1,644,272.46/1,472.38
6. Step 6: Final answer
   x = 1,116.75