Finding the Fourth Proportional to 9,413.58, 12,989.46 and 5,635.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.58 : 12,989.46 = 5,635.88 : x
2. Step 2: Convert to fraction form
   9,413.58/12,989.46 = 5,635.88/x
3. Step 3: Cross multiply
   9,413.58x = 12,989.46 × 5,635.88
4. Step 4: Simplify right side
   9,413.58x = 73,207,037.82
5. Step 5: Solve for x
   x = 73,207,037.82/9,413.58
6. Step 6: Final answer
   x = 7,776.75