Finding the Fourth Proportional to 1,171.50, 1,755.52 and 512.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.50 : 1,755.52 = 512.77 : x
2. Step 2: Convert to fraction form
   1,171.50/1,755.52 = 512.77/x
3. Step 3: Cross multiply
   1,171.50x = 1,755.52 × 512.77
4. Step 4: Simplify right side
   1,171.50x = 900,183.43
5. Step 5: Solve for x
   x = 900,183.43/1,171.50
6. Step 6: Final answer
   x = 768.40