Finding the Fourth Proportional to 10,408.21, 14,363.68 and 5,692.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,408.21 : 14,363.68 = 5,692.49 : x
2. Step 2: Convert to fraction form
   10,408.21/14,363.68 = 5,692.49/x
3. Step 3: Cross multiply
   10,408.21x = 14,363.68 × 5,692.49
4. Step 4: Simplify right side
   10,408.21x = 81,765,104.76
5. Step 5: Solve for x
   x = 81,765,104.76/10,408.21
6. Step 6: Final answer
   x = 7,855.83