Finding the Fourth Proportional to 1,397.57, 1,928.60 and 768.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,397.57 : 1,928.60 = 768.09 : x
2. Step 2: Convert to fraction form
   1,397.57/1,928.60 = 768.09/x
3. Step 3: Cross multiply
   1,397.57x = 1,928.60 × 768.09
4. Step 4: Simplify right side
   1,397.57x = 1,481,338.93
5. Step 5: Solve for x
   x = 1,481,338.93/1,397.57
6. Step 6: Final answer
   x = 1,059.94