Finding the Fourth Proportional to 1,229.99, 1,843.56 and 498.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,229.99 : 1,843.56 = 498.76 : x
2. Step 2: Convert to fraction form
   1,229.99/1,843.56 = 498.76/x
3. Step 3: Cross multiply
   1,229.99x = 1,843.56 × 498.76
4. Step 4: Simplify right side
   1,229.99x = 919,489.38
5. Step 5: Solve for x
   x = 919,489.38/1,229.99
6. Step 6: Final answer
   x = 747.56