Finding the Fourth Proportional to 1,288.82, 1,778.74 and 729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,288.82 : 1,778.74 = 729.50 : x
2. Step 2: Convert to fraction form
   1,288.82/1,778.74 = 729.50/x
3. Step 3: Cross multiply
   1,288.82x = 1,778.74 × 729.50
4. Step 4: Simplify right side
   1,288.82x = 1,297,590.83
5. Step 5: Solve for x
   x = 1,297,590.83/1,288.82
6. Step 6: Final answer
   x = 1,006.81