Finding the Fourth Proportional to 10,222.09, 14,106.61 and 5,745.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.09 : 14,106.61 = 5,745.58 : x
2. Step 2: Convert to fraction form
   10,222.09/14,106.61 = 5,745.58/x
3. Step 3: Cross multiply
   10,222.09x = 14,106.61 × 5,745.58
4. Step 4: Simplify right side
   10,222.09x = 81,050,656.28
5. Step 5: Solve for x
   x = 81,050,656.28/10,222.09
6. Step 6: Final answer
   x = 7,928.97