Finding the Fourth Proportional to 1,365.36, 1,883.97 and 775.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.36 : 1,883.97 = 775.68 : x
2. Step 2: Convert to fraction form
   1,365.36/1,883.97 = 775.68/x
3. Step 3: Cross multiply
   1,365.36x = 1,883.97 × 775.68
4. Step 4: Simplify right side
   1,365.36x = 1,461,357.85
5. Step 5: Solve for x
   x = 1,461,357.85/1,365.36
6. Step 6: Final answer
   x = 1,070.31