Finding the Fourth Proportional to 498.39, 747.56 and 173.98

Step by Step Solution

1. Step 1: Write the proportion equation
   498.39 : 747.56 = 173.98 : x
2. Step 2: Convert to fraction form
   498.39/747.56 = 173.98/x
3. Step 3: Cross multiply
   498.39x = 747.56 × 173.98
4. Step 4: Simplify right side
   498.39x = 130,061.86
5. Step 5: Solve for x
   x = 130,061.86/498.39
6. Step 6: Final answer
   x = 260.97