Finding the Fourth Proportional to 1,472.30, 2,031.82 and 809.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,472.30 : 2,031.82 = 809.15 : x
2. Step 2: Convert to fraction form
   1,472.30/2,031.82 = 809.15/x
3. Step 3: Cross multiply
   1,472.30x = 2,031.82 × 809.15
4. Step 4: Simplify right side
   1,472.30x = 1,644,039.19
5. Step 5: Solve for x
   x = 1,644,039.19/1,472.30
6. Step 6: Final answer
   x = 1,116.65