Finding the Fourth Proportional to 1,314.66, 1,968.87 and 728.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314.66 : 1,968.87 = 728.82 : x
2. Step 2: Convert to fraction form
   1,314.66/1,968.87 = 728.82/x
3. Step 3: Cross multiply
   1,314.66x = 1,968.87 × 728.82
4. Step 4: Simplify right side
   1,314.66x = 1,434,951.83
5. Step 5: Solve for x
   x = 1,434,951.83/1,314.66
6. Step 6: Final answer
   x = 1,091.50