Finding the Fourth Proportional to 1,233.94, 1,849.57 and 616.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.94 : 1,849.57 = 616.42 : x
2. Step 2: Convert to fraction form
   1,233.94/1,849.57 = 616.42/x
3. Step 3: Cross multiply
   1,233.94x = 1,849.57 × 616.42
4. Step 4: Simplify right side
   1,233.94x = 1,140,111.94
5. Step 5: Solve for x
   x = 1,140,111.94/1,233.94
6. Step 6: Final answer
   x = 923.96