Finding the Fourth Proportional to 498.17, 747.37 and 164.63

Step by Step Solution

1. Step 1: Write the proportion equation
   498.17 : 747.37 = 164.63 : x
2. Step 2: Convert to fraction form
   498.17/747.37 = 164.63/x
3. Step 3: Cross multiply
   498.17x = 747.37 × 164.63
4. Step 4: Simplify right side
   498.17x = 123,040.98
5. Step 5: Solve for x
   x = 123,040.98/498.17
6. Step 6: Final answer
   x = 246.98