Finding the Fourth Proportional to 1,365.99, 1,884.62 and 806.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.99 : 1,884.62 = 806.65 : x
2. Step 2: Convert to fraction form
   1,365.99/1,884.62 = 806.65/x
3. Step 3: Cross multiply
   1,365.99x = 1,884.62 × 806.65
4. Step 4: Simplify right side
   1,365.99x = 1,520,228.72
5. Step 5: Solve for x
   x = 1,520,228.72/1,365.99
6. Step 6: Final answer
   x = 1,112.91