Finding the Fourth Proportional to 1,340.72, 1,849.80 and 809.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,340.72 : 1,849.80 = 809.72 : x
2. Step 2: Convert to fraction form
   1,340.72/1,849.80 = 809.72/x
3. Step 3: Cross multiply
   1,340.72x = 1,849.80 × 809.72
4. Step 4: Simplify right side
   1,340.72x = 1,497,820.06
5. Step 5: Solve for x
   x = 1,497,820.06/1,340.72
6. Step 6: Final answer
   x = 1,117.18