Finding the Fourth Proportional to 498.06, 686.27 and 340.72

Step by Step Solution

1. Step 1: Write the proportion equation
   498.06 : 686.27 = 340.72 : x
2. Step 2: Convert to fraction form
   498.06/686.27 = 340.72/x
3. Step 3: Cross multiply
   498.06x = 686.27 × 340.72
4. Step 4: Simplify right side
   498.06x = 233,825.05
5. Step 5: Solve for x
   x = 233,825.05/498.06
6. Step 6: Final answer
   x = 469.47