Finding the Fourth Proportional to 1,472.25, 2,031.76 and 809.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,472.25 : 2,031.76 = 809.10 : x
2. Step 2: Convert to fraction form
   1,472.25/2,031.76 = 809.10/x
3. Step 3: Cross multiply
   1,472.25x = 2,031.76 × 809.10
4. Step 4: Simplify right side
   1,472.25x = 1,643,897.02
5. Step 5: Solve for x
   x = 1,643,897.02/1,472.25
6. Step 6: Final answer
   x = 1,116.59