Finding the Fourth Proportional to 10,221.09, 14,106.28 and 5,684.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,221.09 : 14,106.28 = 5,684.23 : x
2. Step 2: Convert to fraction form
   10,221.09/14,106.28 = 5,684.23/x
3. Step 3: Cross multiply
   10,221.09x = 14,106.28 × 5,684.23
4. Step 4: Simplify right side
   10,221.09x = 80,183,311.80
5. Step 5: Solve for x
   x = 80,183,311.80/10,221.09
6. Step 6: Final answer
   x = 7,844.89