Finding the Fourth Proportional to 10,222.02, 14,107.64 and 5,745.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.02 : 14,107.64 = 5,745.96 : x
2. Step 2: Convert to fraction form
   10,222.02/14,107.64 = 5,745.96/x
3. Step 3: Cross multiply
   10,222.02x = 14,107.64 × 5,745.96
4. Step 4: Simplify right side
   10,222.02x = 81,061,906.40
5. Step 5: Solve for x
   x = 81,061,906.40/10,222.02
6. Step 6: Final answer
   x = 7,930.13