Finding the Fourth Proportional to 10,222.69, 14,106.18 and 5,745.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.69 : 14,106.18 = 5,745.40 : x
2. Step 2: Convert to fraction form
   10,222.69/14,106.18 = 5,745.40/x
3. Step 3: Cross multiply
   10,222.69x = 14,106.18 × 5,745.40
4. Step 4: Simplify right side
   10,222.69x = 81,045,646.57
5. Step 5: Solve for x
   x = 81,045,646.57/10,222.69
6. Step 6: Final answer
   x = 7,928.02