Finding the Fourth Proportional to 6,775.92, 10,164.84 and 2,096.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,775.92 : 10,164.84 = 2,096.34 : x
2. Step 2: Convert to fraction form
   6,775.92/10,164.84 = 2,096.34/x
3. Step 3: Cross multiply
   6,775.92x = 10,164.84 × 2,096.34
4. Step 4: Simplify right side
   6,775.92x = 21,308,960.69
5. Step 5: Solve for x
   x = 21,308,960.69/6,775.92
6. Step 6: Final answer
   x = 3,144.81