Finding the Fourth Proportional to 1,365.76, 1,884.56 and 806.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.76 : 1,884.56 = 806.32 : x
2. Step 2: Convert to fraction form
   1,365.76/1,884.56 = 806.32/x
3. Step 3: Cross multiply
   1,365.76x = 1,884.56 × 806.32
4. Step 4: Simplify right side
   1,365.76x = 1,519,558.42
5. Step 5: Solve for x
   x = 1,519,558.42/1,365.76
6. Step 6: Final answer
   x = 1,112.61