Finding the Fourth Proportional to 1,229.52, 1,843.68 and 498.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,229.52 : 1,843.68 = 498.56 : x
2. Step 2: Convert to fraction form
   1,229.52/1,843.68 = 498.56/x
3. Step 3: Cross multiply
   1,229.52x = 1,843.68 × 498.56
4. Step 4: Simplify right side
   1,229.52x = 919,185.10
5. Step 5: Solve for x
   x = 919,185.10/1,229.52
6. Step 6: Final answer
   x = 747.60