Finding the Fourth Proportional to 1,007.73, 1,509.57 and 505.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.73 : 1,509.57 = 505.89 : x
2. Step 2: Convert to fraction form
   1,007.73/1,509.57 = 505.89/x
3. Step 3: Cross multiply
   1,007.73x = 1,509.57 × 505.89
4. Step 4: Simplify right side
   1,007.73x = 763,676.37
5. Step 5: Solve for x
   x = 763,676.37/1,007.73
6. Step 6: Final answer
   x = 757.82