Finding the Fourth Proportional to 2,065.14, 3,095.31 and 765.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,065.14 : 3,095.31 = 765.78 : x
2. Step 2: Convert to fraction form
   2,065.14/3,095.31 = 765.78/x
3. Step 3: Cross multiply
   2,065.14x = 3,095.31 × 765.78
4. Step 4: Simplify right side
   2,065.14x = 2,370,326.49
5. Step 5: Solve for x
   x = 2,370,326.49/2,065.14
6. Step 6: Final answer
   x = 1,147.78