Finding the Fourth Proportional to 1,365.05, 1,883.14 and 805.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.05 : 1,883.14 = 805.14 : x
2. Step 2: Convert to fraction form
   1,365.05/1,883.14 = 805.14/x
3. Step 3: Cross multiply
   1,365.05x = 1,883.14 × 805.14
4. Step 4: Simplify right side
   1,365.05x = 1,516,189.33
5. Step 5: Solve for x
   x = 1,516,189.33/1,365.05
6. Step 6: Final answer
   x = 1,110.72