Finding the Fourth Proportional to 10,221.60, 14,105.64 and 5,684.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,221.60 : 14,105.64 = 5,684.10 : x
2. Step 2: Convert to fraction form
   10,221.60/14,105.64 = 5,684.10/x
3. Step 3: Cross multiply
   10,221.60x = 14,105.64 × 5,684.10
4. Step 4: Simplify right side
   10,221.60x = 80,177,868.32
5. Step 5: Solve for x
   x = 80,177,868.32/10,221.60
6. Step 6: Final answer
   x = 7,843.96