Finding the Fourth Proportional to 1,196.06, 1,649.85 and 729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.06 : 1,649.85 = 729.50 : x
2. Step 2: Convert to fraction form
   1,196.06/1,649.85 = 729.50/x
3. Step 3: Cross multiply
   1,196.06x = 1,649.85 × 729.50
4. Step 4: Simplify right side
   1,196.06x = 1,203,565.58
5. Step 5: Solve for x
   x = 1,203,565.58/1,196.06
6. Step 6: Final answer
   x = 1,006.28