Finding the Fourth Proportional to 1,171.98, 1,757.98 and 306.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.98 : 1,757.98 = 306.30 : x
2. Step 2: Convert to fraction form
   1,171.98/1,757.98 = 306.30/x
3. Step 3: Cross multiply
   1,171.98x = 1,757.98 × 306.30
4. Step 4: Simplify right side
   1,171.98x = 538,469.27
5. Step 5: Solve for x
   x = 538,469.27/1,171.98
6. Step 6: Final answer
   x = 459.45