Finding the Fourth Proportional to 1,146.49, 1,721.49 and 498.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.49 : 1,721.49 = 498.49 : x
2. Step 2: Convert to fraction form
   1,146.49/1,721.49 = 498.49/x
3. Step 3: Cross multiply
   1,146.49x = 1,721.49 × 498.49
4. Step 4: Simplify right side
   1,146.49x = 858,145.55
5. Step 5: Solve for x
   x = 858,145.55/1,146.49
6. Step 6: Final answer
   x = 748.50