Finding the Fourth Proportional to 465.82, 643.01 and 288.82

Step by Step Solution

1. Step 1: Write the proportion equation
   465.82 : 643.01 = 288.82 : x
2. Step 2: Convert to fraction form
   465.82/643.01 = 288.82/x
3. Step 3: Cross multiply
   465.82x = 643.01 × 288.82
4. Step 4: Simplify right side
   465.82x = 185,709.89
5. Step 5: Solve for x
   x = 185,709.89/465.82
6. Step 6: Final answer
   x = 398.67