Finding the Fourth Proportional to 1,365.66, 1,884.74 and 806.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.66 : 1,884.74 = 806.30 : x
2. Step 2: Convert to fraction form
   1,365.66/1,884.74 = 806.30/x
3. Step 3: Cross multiply
   1,365.66x = 1,884.74 × 806.30
4. Step 4: Simplify right side
   1,365.66x = 1,519,665.86
5. Step 5: Solve for x
   x = 1,519,665.86/1,365.66
6. Step 6: Final answer
   x = 1,112.77