Finding the Fourth Proportional to 10,105.80, 13,946.35 and 5,856.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.80 : 13,946.35 = 5,856.87 : x
2. Step 2: Convert to fraction form
   10,105.80/13,946.35 = 5,856.87/x
3. Step 3: Cross multiply
   10,105.80x = 13,946.35 × 5,856.87
4. Step 4: Simplify right side
   10,105.80x = 81,681,958.92
5. Step 5: Solve for x
   x = 81,681,958.92/10,105.80
6. Step 6: Final answer
   x = 8,082.68