Finding the Fourth Proportional to 10,222.00, 14,106.29 and 5,745.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.00 : 14,106.29 = 5,745.71 : x
2. Step 2: Convert to fraction form
   10,222.00/14,106.29 = 5,745.71/x
3. Step 3: Cross multiply
   10,222.00x = 14,106.29 × 5,745.71
4. Step 4: Simplify right side
   10,222.00x = 81,050,658.05
5. Step 5: Solve for x
   x = 81,050,658.05/10,222.00
6. Step 6: Final answer
   x = 7,929.04