Finding the Fourth Proportional to 2,068.38, 3,101.76 and 769.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,068.38 : 3,101.76 = 769.14 : x
2. Step 2: Convert to fraction form
   2,068.38/3,101.76 = 769.14/x
3. Step 3: Cross multiply
   2,068.38x = 3,101.76 × 769.14
4. Step 4: Simplify right side
   2,068.38x = 2,385,687.69
5. Step 5: Solve for x
   x = 2,385,687.69/2,068.38
6. Step 6: Final answer
   x = 1,153.41