Finding the Fourth Proportional to 21,222.80, 31,834.16 and 5,640.42

Step by Step Solution

1. Step 1: Write the proportion equation
   21,222.80 : 31,834.16 = 5,640.42 : x
2. Step 2: Convert to fraction form
   21,222.80/31,834.16 = 5,640.42/x
3. Step 3: Cross multiply
   21,222.80x = 31,834.16 × 5,640.42
4. Step 4: Simplify right side
   21,222.80x = 179,558,032.75
5. Step 5: Solve for x
   x = 179,558,032.75/21,222.80
6. Step 6: Final answer
   x = 8,460.62