Finding the Fourth Proportional to 10,106.10, 13,944.76 and 5,857.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.10 : 13,944.76 = 5,857.31 : x
2. Step 2: Convert to fraction form
   10,106.10/13,944.76 = 5,857.31/x
3. Step 3: Cross multiply
   10,106.10x = 13,944.76 × 5,857.31
4. Step 4: Simplify right side
   10,106.10x = 81,678,802.41
5. Step 5: Solve for x
   x = 81,678,802.41/10,106.10
6. Step 6: Final answer
   x = 8,082.13