Finding the Fourth Proportional to 1,233.69, 1,849.62 and 746.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.69 : 1,849.62 = 746.63 : x
2. Step 2: Convert to fraction form
   1,233.69/1,849.62 = 746.63/x
3. Step 3: Cross multiply
   1,233.69x = 1,849.62 × 746.63
4. Step 4: Simplify right side
   1,233.69x = 1,380,981.78
5. Step 5: Solve for x
   x = 1,380,981.78/1,233.69
6. Step 6: Final answer
   x = 1,119.39