Finding the Fourth Proportional to 2,064.21, 3,096.72 and 765.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,064.21 : 3,096.72 = 765.78 : x
2. Step 2: Convert to fraction form
   2,064.21/3,096.72 = 765.78/x
3. Step 3: Cross multiply
   2,064.21x = 3,096.72 × 765.78
4. Step 4: Simplify right side
   2,064.21x = 2,371,406.24
5. Step 5: Solve for x
   x = 2,371,406.24/2,064.21
6. Step 6: Final answer
   x = 1,148.82