Finding the Fourth Proportional to 10,971.74, 16,451.40 and 5,413.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,971.74 : 16,451.40 = 5,413.16 : x
2. Step 2: Convert to fraction form
   10,971.74/16,451.40 = 5,413.16/x
3. Step 3: Cross multiply
   10,971.74x = 16,451.40 × 5,413.16
4. Step 4: Simplify right side
   10,971.74x = 89,054,060.42
5. Step 5: Solve for x
   x = 89,054,060.42/10,971.74
6. Step 6: Final answer
   x = 8,116.68