Finding the Fourth Proportional to 2,537.82, 3,806.46 and 806.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,537.82 : 3,806.46 = 806.31 : x
2. Step 2: Convert to fraction form
   2,537.82/3,806.46 = 806.31/x
3. Step 3: Cross multiply
   2,537.82x = 3,806.46 × 806.31
4. Step 4: Simplify right side
   2,537.82x = 3,069,186.76
5. Step 5: Solve for x
   x = 3,069,186.76/2,537.82
6. Step 6: Final answer
   x = 1,209.38