Finding the Fourth Proportional to 10,222.80, 14,106.24 and 5,746

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.80 : 14,106.24 = 5,746 : x
2. Step 2: Convert to fraction form
   10,222.80/14,106.24 = 5,746/x
3. Step 3: Cross multiply
   10,222.80x = 14,106.24 × 5,746
4. Step 4: Simplify right side
   10,222.80x = 81,054,455.04
5. Step 5: Solve for x
   x = 81,054,455.04/10,222.80
6. Step 6: Final answer
   x = 7,928.79