Finding the Fourth Proportional to 464.38, 696.71 and 190.42

Step by Step Solution

1. Step 1: Write the proportion equation
   464.38 : 696.71 = 190.42 : x
2. Step 2: Convert to fraction form
   464.38/696.71 = 190.42/x
3. Step 3: Cross multiply
   464.38x = 696.71 × 190.42
4. Step 4: Simplify right side
   464.38x = 132,667.52
5. Step 5: Solve for x
   x = 132,667.52/464.38
6. Step 6: Final answer
   x = 285.69