Finding the Fourth Proportional to 1,229.63, 1,842.83 and 498.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,229.63 : 1,842.83 = 498.80 : x
2. Step 2: Convert to fraction form
   1,229.63/1,842.83 = 498.80/x
3. Step 3: Cross multiply
   1,229.63x = 1,842.83 × 498.80
4. Step 4: Simplify right side
   1,229.63x = 919,205.72
5. Step 5: Solve for x
   x = 919,205.72/1,229.63
6. Step 6: Final answer
   x = 747.55