Finding the Fourth Proportional to 11,633.80, 17,413.24 and 8,128.12

Step by Step Solution

1. Step 1: Write the proportion equation
   11,633.80 : 17,413.24 = 8,128.12 : x
2. Step 2: Convert to fraction form
   11,633.80/17,413.24 = 8,128.12/x
3. Step 3: Cross multiply
   11,633.80x = 17,413.24 × 8,128.12
4. Step 4: Simplify right side
   11,633.80x = 141,536,904.31
5. Step 5: Solve for x
   x = 141,536,904.31/11,633.80
6. Step 6: Final answer
   x = 12,166.01