Finding the Fourth Proportional to 498.34, 687.71 and 277.33

Step by Step Solution

1. Step 1: Write the proportion equation
   498.34 : 687.71 = 277.33 : x
2. Step 2: Convert to fraction form
   498.34/687.71 = 277.33/x
3. Step 3: Cross multiply
   498.34x = 687.71 × 277.33
4. Step 4: Simplify right side
   498.34x = 190,724.56
5. Step 5: Solve for x
   x = 190,724.56/498.34
6. Step 6: Final answer
   x = 382.72