Finding the Fourth Proportional to 10,408.50, 14,363.76 and 5,692.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,408.50 : 14,363.76 = 5,692.74 : x
2. Step 2: Convert to fraction form
   10,408.50/14,363.76 = 5,692.74/x
3. Step 3: Cross multiply
   10,408.50x = 14,363.76 × 5,692.74
4. Step 4: Simplify right side
   10,408.50x = 81,769,151.10
5. Step 5: Solve for x
   x = 81,769,151.10/10,408.50
6. Step 6: Final answer
   x = 7,856.00