Finding the Fourth Proportional to 1,396.23, 1,926.71 and 766.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,396.23 : 1,926.71 = 766.65 : x
2. Step 2: Convert to fraction form
   1,396.23/1,926.71 = 766.65/x
3. Step 3: Cross multiply
   1,396.23x = 1,926.71 × 766.65
4. Step 4: Simplify right side
   1,396.23x = 1,477,112.22
5. Step 5: Solve for x
   x = 1,477,112.22/1,396.23
6. Step 6: Final answer
   x = 1,057.93