Finding the Fourth Proportional to 1,365.31, 1,884.05 and 775.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.31 : 1,884.05 = 775.83 : x
2. Step 2: Convert to fraction form
   1,365.31/1,884.05 = 775.83/x
3. Step 3: Cross multiply
   1,365.31x = 1,884.05 × 775.83
4. Step 4: Simplify right side
   1,365.31x = 1,461,702.51
5. Step 5: Solve for x
   x = 1,461,702.51/1,365.31
6. Step 6: Final answer
   x = 1,070.60