Finding the Fourth Proportional to 1,397.48, 1,928.51 and 768.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,397.48 : 1,928.51 = 768.02 : x
2. Step 2: Convert to fraction form
   1,397.48/1,928.51 = 768.02/x
3. Step 3: Cross multiply
   1,397.48x = 1,928.51 × 768.02
4. Step 4: Simplify right side
   1,397.48x = 1,481,134.25
5. Step 5: Solve for x
   x = 1,481,134.25/1,397.48
6. Step 6: Final answer
   x = 1,059.86