Finding the Fourth Proportional to 14,559.38, 21,824.37 and 5,669.16

Step by Step Solution

1. Step 1: Write the proportion equation
   14,559.38 : 21,824.37 = 5,669.16 : x
2. Step 2: Convert to fraction form
   14,559.38/21,824.37 = 5,669.16/x
3. Step 3: Cross multiply
   14,559.38x = 21,824.37 × 5,669.16
4. Step 4: Simplify right side
   14,559.38x = 123,725,763.59
5. Step 5: Solve for x
   x = 123,725,763.59/14,559.38
6. Step 6: Final answer
   x = 8,498.01