Finding the Fourth Proportional to 1,396.00, 1,926.50 and 766.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,396.00 : 1,926.50 = 766.56 : x
2. Step 2: Convert to fraction form
   1,396.00/1,926.50 = 766.56/x
3. Step 3: Cross multiply
   1,396.00x = 1,926.50 × 766.56
4. Step 4: Simplify right side
   1,396.00x = 1,476,782.31
5. Step 5: Solve for x
   x = 1,476,782.31/1,396.00
6. Step 6: Final answer
   x = 1,057.87