Finding the Fourth Proportional to 1,229.06, 1,843.89 and 498.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,229.06 : 1,843.89 = 498.65 : x
2. Step 2: Convert to fraction form
   1,229.06/1,843.89 = 498.65/x
3. Step 3: Cross multiply
   1,229.06x = 1,843.89 × 498.65
4. Step 4: Simplify right side
   1,229.06x = 919,446.53
5. Step 5: Solve for x
   x = 919,446.53/1,229.06
6. Step 6: Final answer
   x = 748.09