Finding the Fourth Proportional to 1,233.96, 1,851.78 and 685.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.96 : 1,851.78 = 685.80 : x
2. Step 2: Convert to fraction form
   1,233.96/1,851.78 = 685.80/x
3. Step 3: Cross multiply
   1,233.96x = 1,851.78 × 685.80
4. Step 4: Simplify right side
   1,233.96x = 1,269,950.72
5. Step 5: Solve for x
   x = 1,269,950.72/1,233.96
6. Step 6: Final answer
   x = 1,029.17