Finding the Fourth Proportional to 1,146.92, 1,720.56 and 498.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.92 : 1,720.56 = 498.10 : x
2. Step 2: Convert to fraction form
   1,146.92/1,720.56 = 498.10/x
3. Step 3: Cross multiply
   1,146.92x = 1,720.56 × 498.10
4. Step 4: Simplify right side
   1,146.92x = 857,010.94
5. Step 5: Solve for x
   x = 857,010.94/1,146.92
6. Step 6: Final answer
   x = 747.23