Finding the Fourth Proportional to 1,396.12, 1,926.68 and 766.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,396.12 : 1,926.68 = 766.71 : x
2. Step 2: Convert to fraction form
   1,396.12/1,926.68 = 766.71/x
3. Step 3: Cross multiply
   1,396.12x = 1,926.68 × 766.71
4. Step 4: Simplify right side
   1,396.12x = 1,477,204.82
5. Step 5: Solve for x
   x = 1,477,204.82/1,396.12
6. Step 6: Final answer
   x = 1,058.08