Finding the Fourth Proportional to 2,068.14, 3,102.39 and 770.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,068.14 : 3,102.39 = 770.10 : x
2. Step 2: Convert to fraction form
   2,068.14/3,102.39 = 770.10/x
3. Step 3: Cross multiply
   2,068.14x = 3,102.39 × 770.10
4. Step 4: Simplify right side
   2,068.14x = 2,389,150.54
5. Step 5: Solve for x
   x = 2,389,150.54/2,068.14
6. Step 6: Final answer
   x = 1,155.22