Finding the Fourth Proportional to 1,436.16, 1,981.77 and 806.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,436.16 : 1,981.77 = 806.49 : x
2. Step 2: Convert to fraction form
   1,436.16/1,981.77 = 806.49/x
3. Step 3: Cross multiply
   1,436.16x = 1,981.77 × 806.49
4. Step 4: Simplify right side
   1,436.16x = 1,598,277.69
5. Step 5: Solve for x
   x = 1,598,277.69/1,436.16
6. Step 6: Final answer
   x = 1,112.88