Finding the Fourth Proportional to 10,222.14, 14,106.33 and 5,684.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.14 : 14,106.33 = 5,684.52 : x
2. Step 2: Convert to fraction form
   10,222.14/14,106.33 = 5,684.52/x
3. Step 3: Cross multiply
   10,222.14x = 14,106.33 × 5,684.52
4. Step 4: Simplify right side
   10,222.14x = 80,187,715.01
5. Step 5: Solve for x
   x = 80,187,715.01/10,222.14
6. Step 6: Final answer
   x = 7,844.51