Finding the Fourth Proportional to 2,069.10, 3,101.94 and 769.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,069.10 : 3,101.94 = 769.86 : x
2. Step 2: Convert to fraction form
   2,069.10/3,101.94 = 769.86/x
3. Step 3: Cross multiply
   2,069.10x = 3,101.94 × 769.86
4. Step 4: Simplify right side
   2,069.10x = 2,388,059.53
5. Step 5: Solve for x
   x = 2,388,059.53/2,069.10
6. Step 6: Final answer
   x = 1,154.15