Finding the Fourth Proportional to 10,221.38, 14,105.64 and 5,744.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,221.38 : 14,105.64 = 5,744.87 : x
2. Step 2: Convert to fraction form
   10,221.38/14,105.64 = 5,744.87/x
3. Step 3: Cross multiply
   10,221.38x = 14,105.64 × 5,744.87
4. Step 4: Simplify right side
   10,221.38x = 81,035,103.33
5. Step 5: Solve for x
   x = 81,035,103.33/10,221.38
6. Step 6: Final answer
   x = 7,928.00