Finding the Fourth Proportional to 2,538.09, 3,804.71 and 806.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.09 : 3,804.71 = 806.31 : x
2. Step 2: Convert to fraction form
   2,538.09/3,804.71 = 806.31/x
3. Step 3: Cross multiply
   2,538.09x = 3,804.71 × 806.31
4. Step 4: Simplify right side
   2,538.09x = 3,067,771.69
5. Step 5: Solve for x
   x = 3,067,771.69/2,538.09
6. Step 6: Final answer
   x = 1,208.69