Finding the Fourth Proportional to 9,413.64, 12,990.82 and 5,164.73

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.64 : 12,990.82 = 5,164.73 : x
2. Step 2: Convert to fraction form
   9,413.64/12,990.82 = 5,164.73/x
3. Step 3: Cross multiply
   9,413.64x = 12,990.82 × 5,164.73
4. Step 4: Simplify right side
   9,413.64x = 67,094,077.78
5. Step 5: Solve for x
   x = 67,094,077.78/9,413.64
6. Step 6: Final answer
   x = 7,127.32