Finding the Fourth Proportional to 2,064.57, 3,095.42 and 765.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,064.57 : 3,095.42 = 765.69 : x
2. Step 2: Convert to fraction form
   2,064.57/3,095.42 = 765.69/x
3. Step 3: Cross multiply
   2,064.57x = 3,095.42 × 765.69
4. Step 4: Simplify right side
   2,064.57x = 2,370,128.31
5. Step 5: Solve for x
   x = 2,370,128.31/2,064.57
6. Step 6: Final answer
   x = 1,148.00