Finding the Fourth Proportional to 2,537.47, 3,806.81 and 806.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,537.47 : 3,806.81 = 806.10 : x
2. Step 2: Convert to fraction form
   2,537.47/3,806.81 = 806.10/x
3. Step 3: Cross multiply
   2,537.47x = 3,806.81 × 806.10
4. Step 4: Simplify right side
   2,537.47x = 3,068,669.54
5. Step 5: Solve for x
   x = 3,068,669.54/2,537.47
6. Step 6: Final answer
   x = 1,209.34