Finding the Fourth Proportional to 1,365.33, 1,884.24 and 775.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.33 : 1,884.24 = 775.97 : x
2. Step 2: Convert to fraction form
   1,365.33/1,884.24 = 775.97/x
3. Step 3: Cross multiply
   1,365.33x = 1,884.24 × 775.97
4. Step 4: Simplify right side
   1,365.33x = 1,462,104.29
5. Step 5: Solve for x
   x = 1,462,104.29/1,365.33
6. Step 6: Final answer
   x = 1,070.88