Finding the Fourth Proportional to 10,222.13, 14,106.68 and 5,745.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.13 : 14,106.68 = 5,745.62 : x
2. Step 2: Convert to fraction form
   10,222.13/14,106.68 = 5,745.62/x
3. Step 3: Cross multiply
   10,222.13x = 14,106.68 × 5,745.62
4. Step 4: Simplify right side
   10,222.13x = 81,051,622.74
5. Step 5: Solve for x
   x = 81,051,622.74/10,222.13
6. Step 6: Final answer
   x = 7,929.03