Finding the Fourth Proportional to 9,867.06, 13,609.89 and 7,767.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,867.06 : 13,609.89 = 7,767.54 : x
2. Step 2: Convert to fraction form
   9,867.06/13,609.89 = 7,767.54/x
3. Step 3: Cross multiply
   9,867.06x = 13,609.89 × 7,767.54
4. Step 4: Simplify right side
   9,867.06x = 105,715,364.97
5. Step 5: Solve for x
   x = 105,715,364.97/9,867.06
6. Step 6: Final answer
   x = 10,713.97