Finding the Fourth Proportional to 10,228.87, 14,116.57 and 5,692.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,228.87 : 14,116.57 = 5,692.55 : x
2. Step 2: Convert to fraction form
   10,228.87/14,116.57 = 5,692.55/x
3. Step 3: Cross multiply
   10,228.87x = 14,116.57 × 5,692.55
4. Step 4: Simplify right side
   10,228.87x = 80,359,298.20
5. Step 5: Solve for x
   x = 80,359,298.20/10,228.87
6. Step 6: Final answer
   x = 7,856.13