Finding the Fourth Proportional to 10,105.02, 13,942.01 and 5,856.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.02 : 13,942.01 = 5,856.06 : x
2. Step 2: Convert to fraction form
   10,105.02/13,942.01 = 5,856.06/x
3. Step 3: Cross multiply
   10,105.02x = 13,942.01 × 5,856.06
4. Step 4: Simplify right side
   10,105.02x = 81,645,217.80
5. Step 5: Solve for x
   x = 81,645,217.80/10,105.02
6. Step 6: Final answer
   x = 8,079.67