Finding the Fourth Proportional to 6,775.83, 10,164.69 and 2,096.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,775.83 : 10,164.69 = 2,096.24 : x
2. Step 2: Convert to fraction form
   6,775.83/10,164.69 = 2,096.24/x
3. Step 3: Cross multiply
   6,775.83x = 10,164.69 × 2,096.24
4. Step 4: Simplify right side
   6,775.83x = 21,307,578.94
5. Step 5: Solve for x
   x = 21,307,578.94/6,775.83
6. Step 6: Final answer
   x = 3,144.64