Finding the Fourth Proportional to 10,166.27, 14,027.60 and 5,858.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166.27 : 14,027.60 = 5,858.69 : x
2. Step 2: Convert to fraction form
   10,166.27/14,027.60 = 5,858.69/x
3. Step 3: Cross multiply
   10,166.27x = 14,027.60 × 5,858.69
4. Step 4: Simplify right side
   10,166.27x = 82,183,359.84
5. Step 5: Solve for x
   x = 82,183,359.84/10,166.27
6. Step 6: Final answer
   x = 8,083.92