Finding the Fourth Proportional to 406.89, 610.71 and 201.69

Step by Step Solution

1. Step 1: Write the proportion equation
   406.89 : 610.71 = 201.69 : x
2. Step 2: Convert to fraction form
   406.89/610.71 = 201.69/x
3. Step 3: Cross multiply
   406.89x = 610.71 × 201.69
4. Step 4: Simplify right side
   406.89x = 123,173.34
5. Step 5: Solve for x
   x = 123,173.34/406.89
6. Step 6: Final answer
   x = 302.72