Finding the Fourth Proportional to 1,365.28, 1,884.31 and 806.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.28 : 1,884.31 = 806.23 : x
2. Step 2: Convert to fraction form
   1,365.28/1,884.31 = 806.23/x
3. Step 3: Cross multiply
   1,365.28x = 1,884.31 × 806.23
4. Step 4: Simplify right side
   1,365.28x = 1,519,186.83
5. Step 5: Solve for x
   x = 1,519,186.83/1,365.28
6. Step 6: Final answer
   x = 1,112.73