Finding the Fourth Proportional to 809.31, 1,116.72 and 477.69

Step by Step Solution

1. Step 1: Write the proportion equation
   809.31 : 1,116.72 = 477.69 : x
2. Step 2: Convert to fraction form
   809.31/1,116.72 = 477.69/x
3. Step 3: Cross multiply
   809.31x = 1,116.72 × 477.69
4. Step 4: Simplify right side
   809.31x = 533,445.98
5. Step 5: Solve for x
   x = 533,445.98/809.31
6. Step 6: Final answer
   x = 659.14