Finding the Fourth Proportional to 1,223.76, 1,834.92 and 492.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,223.76 : 1,834.92 = 492.72 : x
2. Step 2: Convert to fraction form
   1,223.76/1,834.92 = 492.72/x
3. Step 3: Cross multiply
   1,223.76x = 1,834.92 × 492.72
4. Step 4: Simplify right side
   1,223.76x = 904,101.78
5. Step 5: Solve for x
   x = 904,101.78/1,223.76
6. Step 6: Final answer
   x = 738.79