Finding the Fourth Proportional to 9,910.89, 13,667.94 and 7,665.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,910.89 : 13,667.94 = 7,665.57 : x
2. Step 2: Convert to fraction form
   9,910.89/13,667.94 = 7,665.57/x
3. Step 3: Cross multiply
   9,910.89x = 13,667.94 × 7,665.57
4. Step 4: Simplify right side
   9,910.89x = 104,772,550.83
5. Step 5: Solve for x
   x = 104,772,550.83/9,910.89
6. Step 6: Final answer
   x = 10,571.46