Finding the Fourth Proportional to 1,327.72, 1,991.46 and 506.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,327.72 : 1,991.46 = 506.56 : x
2. Step 2: Convert to fraction form
   1,327.72/1,991.46 = 506.56/x
3. Step 3: Cross multiply
   1,327.72x = 1,991.46 × 506.56
4. Step 4: Simplify right side
   1,327.72x = 1,008,793.98
5. Step 5: Solve for x
   x = 1,008,793.98/1,327.72
6. Step 6: Final answer
   x = 759.79