Finding the Fourth Proportional to 9,413.74, 12,990.42 and 5,164

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.74 : 12,990.42 = 5,164 : x
2. Step 2: Convert to fraction form
   9,413.74/12,990.42 = 5,164/x
3. Step 3: Cross multiply
   9,413.74x = 12,990.42 × 5,164
4. Step 4: Simplify right side
   9,413.74x = 67,082,528.88
5. Step 5: Solve for x
   x = 67,082,528.88/9,413.74
6. Step 6: Final answer
   x = 7,126.02