Finding the Fourth Proportional to 1,171.69, 1,757.50 and 306.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.69 : 1,757.50 = 306.00 : x
2. Step 2: Convert to fraction form
   1,171.69/1,757.50 = 306.00/x
3. Step 3: Cross multiply
   1,171.69x = 1,757.50 × 306.00
4. Step 4: Simplify right side
   1,171.69x = 537,799.39
5. Step 5: Solve for x
   x = 537,799.39/1,171.69
6. Step 6: Final answer
   x = 458.99