Finding the Fourth Proportional to 1,183.48, 1,632.72 and 809.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,183.48 : 1,632.72 = 809.86 : x
2. Step 2: Convert to fraction form
   1,183.48/1,632.72 = 809.86/x
3. Step 3: Cross multiply
   1,183.48x = 1,632.72 × 809.86
4. Step 4: Simplify right side
   1,183.48x = 1,322,274.62
5. Step 5: Solve for x
   x = 1,322,274.62/1,183.48
6. Step 6: Final answer
   x = 1,117.28