Finding the Fourth Proportional to 11,648.14, 16,071.80 and 9,767.32

Step by Step Solution

1. Step 1: Write the proportion equation
   11,648.14 : 16,071.80 = 9,767.32 : x
2. Step 2: Convert to fraction form
   11,648.14/16,071.80 = 9,767.32/x
3. Step 3: Cross multiply
   11,648.14x = 16,071.80 × 9,767.32
4. Step 4: Simplify right side
   11,648.14x = 156,978,413.58
5. Step 5: Solve for x
   x = 156,978,413.58/11,648.14
6. Step 6: Final answer
   x = 13,476.69