Finding the Fourth Proportional to 805.27, 1,199.86 and 769.89

Step by Step Solution

1. Step 1: Write the proportion equation
   805.27 : 1,199.86 = 769.89 : x
2. Step 2: Convert to fraction form
   805.27/1,199.86 = 769.89/x
3. Step 3: Cross multiply
   805.27x = 1,199.86 × 769.89
4. Step 4: Simplify right side
   805.27x = 923,760.22
5. Step 5: Solve for x
   x = 923,760.22/805.27
6. Step 6: Final answer
   x = 1,147.14