Finding the Fourth Proportional to 2,091.53, 3,135.94 and 685.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,091.53 : 3,135.94 = 685.78 : x
2. Step 2: Convert to fraction form
   2,091.53/3,135.94 = 685.78/x
3. Step 3: Cross multiply
   2,091.53x = 3,135.94 × 685.78
4. Step 4: Simplify right side
   2,091.53x = 2,150,555.38
5. Step 5: Solve for x
   x = 2,150,555.38/2,091.53
6. Step 6: Final answer
   x = 1,028.22