Finding the Fourth Proportional to 498.53, 747.78 and 173.87

Step by Step Solution

1. Step 1: Write the proportion equation
   498.53 : 747.78 = 173.87 : x
2. Step 2: Convert to fraction form
   498.53/747.78 = 173.87/x
3. Step 3: Cross multiply
   498.53x = 747.78 × 173.87
4. Step 4: Simplify right side
   498.53x = 130,012.77
5. Step 5: Solve for x
   x = 130,012.77/498.53
6. Step 6: Final answer
   x = 260.79