Finding the Fourth Proportional to 1,365.31, 1,884.09 and 775.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.31 : 1,884.09 = 775.86 : x
2. Step 2: Convert to fraction form
   1,365.31/1,884.09 = 775.86/x
3. Step 3: Cross multiply
   1,365.31x = 1,884.09 × 775.86
4. Step 4: Simplify right side
   1,365.31x = 1,461,790.07
5. Step 5: Solve for x
   x = 1,461,790.07/1,365.31
6. Step 6: Final answer
   x = 1,070.67