Finding the Fourth Proportional to 1,160.54, 1,738.72 and 769.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,160.54 : 1,738.72 = 769.62 : x
2. Step 2: Convert to fraction form
   1,160.54/1,738.72 = 769.62/x
3. Step 3: Cross multiply
   1,160.54x = 1,738.72 × 769.62
4. Step 4: Simplify right side
   1,160.54x = 1,338,153.69
5. Step 5: Solve for x
   x = 1,338,153.69/1,160.54
6. Step 6: Final answer
   x = 1,153.04