Finding the Fourth Proportional to 1,365.31, 1,884.14 and 775.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.31 : 1,884.14 = 775.85 : x
2. Step 2: Convert to fraction form
   1,365.31/1,884.14 = 775.85/x
3. Step 3: Cross multiply
   1,365.31x = 1,884.14 × 775.85
4. Step 4: Simplify right side
   1,365.31x = 1,461,796.72
5. Step 5: Solve for x
   x = 1,461,796.72/1,365.31
6. Step 6: Final answer
   x = 1,070.67