Finding the Fourth Proportional to 14,546.17, 21,821.34 and 5,659.78

Step by Step Solution

1. Step 1: Write the proportion equation
   14,546.17 : 21,821.34 = 5,659.78 : x
2. Step 2: Convert to fraction form
   14,546.17/21,821.34 = 5,659.78/x
3. Step 3: Cross multiply
   14,546.17x = 21,821.34 × 5,659.78
4. Step 4: Simplify right side
   14,546.17x = 123,503,983.71
5. Step 5: Solve for x
   x = 123,503,983.71/14,546.17
6. Step 6: Final answer
   x = 8,490.48