Finding the Fourth Proportional to 9,413.02, 12,988.56 and 5,636.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.02 : 12,988.56 = 5,636.08 : x
2. Step 2: Convert to fraction form
   9,413.02/12,988.56 = 5,636.08/x
3. Step 3: Cross multiply
   9,413.02x = 12,988.56 × 5,636.08
4. Step 4: Simplify right side
   9,413.02x = 73,204,563.24
5. Step 5: Solve for x
   x = 73,204,563.24/9,413.02
6. Step 6: Final answer
   x = 7,776.95