Finding the Fourth Proportional to 1,171.82, 1,757.82 and 306.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.82 : 1,757.82 = 306.12 : x
2. Step 2: Convert to fraction form
   1,171.82/1,757.82 = 306.12/x
3. Step 3: Cross multiply
   1,171.82x = 1,757.82 × 306.12
4. Step 4: Simplify right side
   1,171.82x = 538,103.86
5. Step 5: Solve for x
   x = 538,103.86/1,171.82
6. Step 6: Final answer
   x = 459.20