Finding the Fourth Proportional to 498.10, 746.48 and 411.98

Step by Step Solution

1. Step 1: Write the proportion equation
   498.10 : 746.48 = 411.98 : x
2. Step 2: Convert to fraction form
   498.10/746.48 = 411.98/x
3. Step 3: Cross multiply
   498.10x = 746.48 × 411.98
4. Step 4: Simplify right side
   498.10x = 307,534.83
5. Step 5: Solve for x
   x = 307,534.83/498.10
6. Step 6: Final answer
   x = 617.42