Finding the Fourth Proportional to 14,408.67, 21,606.89 and 5,642.19

Step by Step Solution

1. Step 1: Write the proportion equation
   14,408.67 : 21,606.89 = 5,642.19 : x
2. Step 2: Convert to fraction form
   14,408.67/21,606.89 = 5,642.19/x
3. Step 3: Cross multiply
   14,408.67x = 21,606.89 × 5,642.19
4. Step 4: Simplify right side
   14,408.67x = 121,910,150.48
5. Step 5: Solve for x
   x = 121,910,150.48/14,408.67
6. Step 6: Final answer
   x = 8,460.89