Finding the Fourth Proportional to 498.31, 746.79 and 361.63

Step by Step Solution

1. Step 1: Write the proportion equation
   498.31 : 746.79 = 361.63 : x
2. Step 2: Convert to fraction form
   498.31/746.79 = 361.63/x
3. Step 3: Cross multiply
   498.31x = 746.79 × 361.63
4. Step 4: Simplify right side
   498.31x = 270,061.67
5. Step 5: Solve for x
   x = 270,061.67/498.31
6. Step 6: Final answer
   x = 541.96