Finding the Fourth Proportional to 498.61, 748.02 and 173.98

Step by Step Solution

1. Step 1: Write the proportion equation
   498.61 : 748.02 = 173.98 : x
2. Step 2: Convert to fraction form
   498.61/748.02 = 173.98/x
3. Step 3: Cross multiply
   498.61x = 748.02 × 173.98
4. Step 4: Simplify right side
   498.61x = 130,140.52
5. Step 5: Solve for x
   x = 130,140.52/498.61
6. Step 6: Final answer
   x = 261.01