Finding the Fourth Proportional to 498.06, 686.61 and 386.82

Step by Step Solution

1. Step 1: Write the proportion equation
   498.06 : 686.61 = 386.82 : x
2. Step 2: Convert to fraction form
   498.06/686.61 = 386.82/x
3. Step 3: Cross multiply
   498.06x = 686.61 × 386.82
4. Step 4: Simplify right side
   498.06x = 265,594.48
5. Step 5: Solve for x
   x = 265,594.48/498.06
6. Step 6: Final answer
   x = 533.26