Finding the Fourth Proportional to 1,396.25, 1,926.83 and 766.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,396.25 : 1,926.83 = 766.82 : x
2. Step 2: Convert to fraction form
   1,396.25/1,926.83 = 766.82/x
3. Step 3: Cross multiply
   1,396.25x = 1,926.83 × 766.82
4. Step 4: Simplify right side
   1,396.25x = 1,477,521.93
5. Step 5: Solve for x
   x = 1,477,521.93/1,396.25
6. Step 6: Final answer
   x = 1,058.21