Finding the Fourth Proportional to 1,229.70, 1,843.86 and 498.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,229.70 : 1,843.86 = 498.42 : x
2. Step 2: Convert to fraction form
   1,229.70/1,843.86 = 498.42/x
3. Step 3: Cross multiply
   1,229.70x = 1,843.86 × 498.42
4. Step 4: Simplify right side
   1,229.70x = 919,018.57
5. Step 5: Solve for x
   x = 919,018.57/1,229.70
6. Step 6: Final answer
   x = 747.35