Finding the Fourth Proportional to 1,472.34, 2,031.78 and 809.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,472.34 : 2,031.78 = 809.16 : x
2. Step 2: Convert to fraction form
   1,472.34/2,031.78 = 809.16/x
3. Step 3: Cross multiply
   1,472.34x = 2,031.78 × 809.16
4. Step 4: Simplify right side
   1,472.34x = 1,644,035.10
5. Step 5: Solve for x
   x = 1,644,035.10/1,472.34
6. Step 6: Final answer
   x = 1,116.61