Finding the Fourth Proportional to 3,078.39, 4,617.56 and 769.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,078.39 : 4,617.56 = 769.89 : x
2. Step 2: Convert to fraction form
   3,078.39/4,617.56 = 769.89/x
3. Step 3: Cross multiply
   3,078.39x = 4,617.56 × 769.89
4. Step 4: Simplify right side
   3,078.39x = 3,555,009.42
5. Step 5: Solve for x
   x = 3,555,009.42/3,078.39
6. Step 6: Final answer
   x = 1,154.83