Finding the Fourth Proportional to 1,229.16, 1,843.38 and 498.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,229.16 : 1,843.38 = 498.60 : x
2. Step 2: Convert to fraction form
   1,229.16/1,843.38 = 498.60/x
3. Step 3: Cross multiply
   1,229.16x = 1,843.38 × 498.60
4. Step 4: Simplify right side
   1,229.16x = 919,109.27
5. Step 5: Solve for x
   x = 919,109.27/1,229.16
6. Step 6: Final answer
   x = 747.75