Finding the Fourth Proportional to 1,365.58, 1,884.89 and 806.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.58 : 1,884.89 = 806.14 : x
2. Step 2: Convert to fraction form
   1,365.58/1,884.89 = 806.14/x
3. Step 3: Cross multiply
   1,365.58x = 1,884.89 × 806.14
4. Step 4: Simplify right side
   1,365.58x = 1,519,471.77
5. Step 5: Solve for x
   x = 1,519,471.77/1,365.58
6. Step 6: Final answer
   x = 1,112.70