Finding the Fourth Proportional to 1,155.69, 1,732.41 and 498.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.69 : 1,732.41 = 498.03 : x
2. Step 2: Convert to fraction form
   1,155.69/1,732.41 = 498.03/x
3. Step 3: Cross multiply
   1,155.69x = 1,732.41 × 498.03
4. Step 4: Simplify right side
   1,155.69x = 862,792.15
5. Step 5: Solve for x
   x = 862,792.15/1,155.69
6. Step 6: Final answer
   x = 746.56