Finding the Fourth Proportional to 1,155.82, 1,730.94 and 809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.82 : 1,730.94 = 809.50 : x
2. Step 2: Convert to fraction form
   1,155.82/1,730.94 = 809.50/x
3. Step 3: Cross multiply
   1,155.82x = 1,730.94 × 809.50
4. Step 4: Simplify right side
   1,155.82x = 1,401,195.93
5. Step 5: Solve for x
   x = 1,401,195.93/1,155.82
6. Step 6: Final answer
   x = 1,212.30