Finding the Fourth Proportional to 14,459.69, 21,689.55 and 5,689.82

Step by Step Solution

1. Step 1: Write the proportion equation
   14,459.69 : 21,689.55 = 5,689.82 : x
2. Step 2: Convert to fraction form
   14,459.69/21,689.55 = 5,689.82/x
3. Step 3: Cross multiply
   14,459.69x = 21,689.55 × 5,689.82
4. Step 4: Simplify right side
   14,459.69x = 123,409,635.38
5. Step 5: Solve for x
   x = 123,409,635.38/14,459.69
6. Step 6: Final answer
   x = 8,534.74