Finding the Fourth Proportional to 1,365.89, 1,884.84 and 806.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.89 : 1,884.84 = 806.38 : x
2. Step 2: Convert to fraction form
   1,365.89/1,884.84 = 806.38/x
3. Step 3: Cross multiply
   1,365.89x = 1,884.84 × 806.38
4. Step 4: Simplify right side
   1,365.89x = 1,519,897.28
5. Step 5: Solve for x
   x = 1,519,897.28/1,365.89
6. Step 6: Final answer
   x = 1,112.75