Finding the Fourth Proportional to 734.88, 1,014.42 and 498.72

Step by Step Solution

1. Step 1: Write the proportion equation
   734.88 : 1,014.42 = 498.72 : x
2. Step 2: Convert to fraction form
   734.88/1,014.42 = 498.72/x
3. Step 3: Cross multiply
   734.88x = 1,014.42 × 498.72
4. Step 4: Simplify right side
   734.88x = 505,911.54
5. Step 5: Solve for x
   x = 505,911.54/734.88
6. Step 6: Final answer
   x = 688.43