Finding the Fourth Proportional to 10,222.02, 14,106.06 and 5,684.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.02 : 14,106.06 = 5,684.67 : x
2. Step 2: Convert to fraction form
   10,222.02/14,106.06 = 5,684.67/x
3. Step 3: Cross multiply
   10,222.02x = 14,106.06 × 5,684.67
4. Step 4: Simplify right side
   10,222.02x = 80,188,296.10
5. Step 5: Solve for x
   x = 80,188,296.10/10,222.02
6. Step 6: Final answer
   x = 7,844.66