Finding the Fourth Proportional to 12,824.96, 17,705.80 and 9,776.14

Step by Step Solution

1. Step 1: Write the proportion equation
   12,824.96 : 17,705.80 = 9,776.14 : x
2. Step 2: Convert to fraction form
   12,824.96/17,705.80 = 9,776.14/x
3. Step 3: Cross multiply
   12,824.96x = 17,705.80 × 9,776.14
4. Step 4: Simplify right side
   12,824.96x = 173,094,413.96
5. Step 5: Solve for x
   x = 173,094,413.96/12,824.96
6. Step 6: Final answer
   x = 13,496.69