Finding the Fourth Proportional to 498.53, 749.41 and 496.10

Step by Step Solution

1. Step 1: Write the proportion equation
   498.53 : 749.41 = 496.10 : x
2. Step 2: Convert to fraction form
   498.53/749.41 = 496.10/x
3. Step 3: Cross multiply
   498.53x = 749.41 × 496.10
4. Step 4: Simplify right side
   498.53x = 371,777.31
5. Step 5: Solve for x
   x = 371,777.31/498.53
6. Step 6: Final answer
   x = 745.75