Finding the Fourth Proportional to 1,397.27, 1,928.18 and 767.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,397.27 : 1,928.18 = 767.76 : x
2. Step 2: Convert to fraction form
   1,397.27/1,928.18 = 767.76/x
3. Step 3: Cross multiply
   1,397.27x = 1,928.18 × 767.76
4. Step 4: Simplify right side
   1,397.27x = 1,480,375.64
5. Step 5: Solve for x
   x = 1,480,375.64/1,397.27
6. Step 6: Final answer
   x = 1,059.48