Finding the Fourth Proportional to 2,537.83, 3,806.82 and 688.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,537.83 : 3,806.82 = 688.94 : x
2. Step 2: Convert to fraction form
   2,537.83/3,806.82 = 688.94/x
3. Step 3: Cross multiply
   2,537.83x = 3,806.82 × 688.94
4. Step 4: Simplify right side
   2,537.83x = 2,622,651.54
5. Step 5: Solve for x
   x = 2,622,651.54/2,537.83
6. Step 6: Final answer
   x = 1,033.42