Finding the Fourth Proportional to 11,607.68, 17,413.92 and 5,678.72

Step by Step Solution

1. Step 1: Write the proportion equation
   11,607.68 : 17,413.92 = 5,678.72 : x
2. Step 2: Convert to fraction form
   11,607.68/17,413.92 = 5,678.72/x
3. Step 3: Cross multiply
   11,607.68x = 17,413.92 × 5,678.72
4. Step 4: Simplify right side
   11,607.68x = 98,888,775.78
5. Step 5: Solve for x
   x = 98,888,775.78/11,607.68
6. Step 6: Final answer
   x = 8,519.25