Finding the Fourth Proportional to 11,658.27, 17,477.69 and 5,806.83

Step by Step Solution

1. Step 1: Write the proportion equation
   11,658.27 : 17,477.69 = 5,806.83 : x
2. Step 2: Convert to fraction form
   11,658.27/17,477.69 = 5,806.83/x
3. Step 3: Cross multiply
   11,658.27x = 17,477.69 × 5,806.83
4. Step 4: Simplify right side
   11,658.27x = 101,489,945.59
5. Step 5: Solve for x
   x = 101,489,945.59/11,658.27
6. Step 6: Final answer
   x = 8,705.40