Finding the Fourth Proportional to 10,408.63, 14,363.61 and 5,692.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,408.63 : 14,363.61 = 5,692.81 : x
2. Step 2: Convert to fraction form
   10,408.63/14,363.61 = 5,692.81/x
3. Step 3: Cross multiply
   10,408.63x = 14,363.61 × 5,692.81
4. Step 4: Simplify right side
   10,408.63x = 81,769,230.83
5. Step 5: Solve for x
   x = 81,769,230.83/10,408.63
6. Step 6: Final answer
   x = 7,855.91