Finding the Fourth Proportional to 1,327.59, 1,989.94 and 505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,327.59 : 1,989.94 = 505.50 : x
2. Step 2: Convert to fraction form
   1,327.59/1,989.94 = 505.50/x
3. Step 3: Cross multiply
   1,327.59x = 1,989.94 × 505.50
4. Step 4: Simplify right side
   1,327.59x = 1,005,914.67
5. Step 5: Solve for x
   x = 1,005,914.67/1,327.59
6. Step 6: Final answer
   x = 757.70