Finding the Fourth Proportional to 498.42, 745.74 and 282.15

Step by Step Solution

1. Step 1: Write the proportion equation
   498.42 : 745.74 = 282.15 : x
2. Step 2: Convert to fraction form
   498.42/745.74 = 282.15/x
3. Step 3: Cross multiply
   498.42x = 745.74 × 282.15
4. Step 4: Simplify right side
   498.42x = 210,410.54
5. Step 5: Solve for x
   x = 210,410.54/498.42
6. Step 6: Final answer
   x = 422.16