Finding the Fourth Proportional to 498.56, 747.83 and 422.01

Step by Step Solution

1. Step 1: Write the proportion equation
   498.56 : 747.83 = 422.01 : x
2. Step 2: Convert to fraction form
   498.56/747.83 = 422.01/x
3. Step 3: Cross multiply
   498.56x = 747.83 × 422.01
4. Step 4: Simplify right side
   498.56x = 315,592.79
5. Step 5: Solve for x
   x = 315,592.79/498.56
6. Step 6: Final answer
   x = 633.02