Finding the Fourth Proportional to 1,179.84, 1,766.16 and 768.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,179.84 : 1,766.16 = 768.09 : x
2. Step 2: Convert to fraction form
   1,179.84/1,766.16 = 768.09/x
3. Step 3: Cross multiply
   1,179.84x = 1,766.16 × 768.09
4. Step 4: Simplify right side
   1,179.84x = 1,356,569.83
5. Step 5: Solve for x
   x = 1,356,569.83/1,179.84
6. Step 6: Final answer
   x = 1,149.79