Finding the Fourth Proportional to 671.82, 1,007.10 and 498.27

Step by Step Solution

1. Step 1: Write the proportion equation
   671.82 : 1,007.10 = 498.27 : x
2. Step 2: Convert to fraction form
   671.82/1,007.10 = 498.27/x
3. Step 3: Cross multiply
   671.82x = 1,007.10 × 498.27
4. Step 4: Simplify right side
   671.82x = 501,807.72
5. Step 5: Solve for x
   x = 501,807.72/671.82
6. Step 6: Final answer
   x = 746.94