Finding the Fourth Proportional to 2,064.75, 3,096.71 and 765.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,064.75 : 3,096.71 = 765.91 : x
2. Step 2: Convert to fraction form
   2,064.75/3,096.71 = 765.91/x
3. Step 3: Cross multiply
   2,064.75x = 3,096.71 × 765.91
4. Step 4: Simplify right side
   2,064.75x = 2,371,801.16
5. Step 5: Solve for x
   x = 2,371,801.16/2,064.75
6. Step 6: Final answer
   x = 1,148.71