Finding the Fourth Proportional to 498.01, 687.15 and 379.96

Step by Step Solution

1. Step 1: Write the proportion equation
   498.01 : 687.15 = 379.96 : x
2. Step 2: Convert to fraction form
   498.01/687.15 = 379.96/x
3. Step 3: Cross multiply
   498.01x = 687.15 × 379.96
4. Step 4: Simplify right side
   498.01x = 261,089.51
5. Step 5: Solve for x
   x = 261,089.51/498.01
6. Step 6: Final answer
   x = 524.27