Finding the Fourth Proportional to 10,222.65, 14,106.47 and 5,745.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.65 : 14,106.47 = 5,745.56 : x
2. Step 2: Convert to fraction form
   10,222.65/14,106.47 = 5,745.56/x
3. Step 3: Cross multiply
   10,222.65x = 14,106.47 × 5,745.56
4. Step 4: Simplify right side
   10,222.65x = 81,049,470.51
5. Step 5: Solve for x
   x = 81,049,470.51/10,222.65
6. Step 6: Final answer
   x = 7,928.42