Finding the Fourth Proportional to 1,365.85, 1,884.80 and 806.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.85 : 1,884.80 = 806.34 : x
2. Step 2: Convert to fraction form
   1,365.85/1,884.80 = 806.34/x
3. Step 3: Cross multiply
   1,365.85x = 1,884.80 × 806.34
4. Step 4: Simplify right side
   1,365.85x = 1,519,789.63
5. Step 5: Solve for x
   x = 1,519,789.63/1,365.85
6. Step 6: Final answer
   x = 1,112.71