Finding the Fourth Proportional to 1,397.23, 1,928.06 and 767.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,397.23 : 1,928.06 = 767.74 : x
2. Step 2: Convert to fraction form
   1,397.23/1,928.06 = 767.74/x
3. Step 3: Cross multiply
   1,397.23x = 1,928.06 × 767.74
4. Step 4: Simplify right side
   1,397.23x = 1,480,255.52
5. Step 5: Solve for x
   x = 1,480,255.52/1,397.23
6. Step 6: Final answer
   x = 1,059.42