Finding the Fourth Proportional to 1,365.27, 1,884.24 and 775.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.27 : 1,884.24 = 775.86 : x
2. Step 2: Convert to fraction form
   1,365.27/1,884.24 = 775.86/x
3. Step 3: Cross multiply
   1,365.27x = 1,884.24 × 775.86
4. Step 4: Simplify right side
   1,365.27x = 1,461,906.45
5. Step 5: Solve for x
   x = 1,461,906.45/1,365.27
6. Step 6: Final answer
   x = 1,070.78