Finding the Fourth Proportional to 16,965, 23,413.86 and 9,513

Step by Step Solution

1. Step 1: Write the proportion equation
   16,965 : 23,413.86 = 9,513 : x
2. Step 2: Convert to fraction form
   16,965/23,413.86 = 9,513/x
3. Step 3: Cross multiply
   16,965x = 23,413.86 × 9,513
4. Step 4: Simplify right side
   16,965x = 222,736,050.18
5. Step 5: Solve for x
   x = 222,736,050.18/16,965
6. Step 6: Final answer
   x = 13,129.15