Finding the Fourth Proportional to 778.41, 1,071.83 and 728.83

Step by Step Solution

1. Step 1: Write the proportion equation
   778.41 : 1,071.83 = 728.83 : x
2. Step 2: Convert to fraction form
   778.41/1,071.83 = 728.83/x
3. Step 3: Cross multiply
   778.41x = 1,071.83 × 728.83
4. Step 4: Simplify right side
   778.41x = 781,185.02
5. Step 5: Solve for x
   x = 781,185.02/778.41
6. Step 6: Final answer
   x = 1,003.56