Finding the Fourth Proportional to 9,110.34, 13,661.69 and 3,185.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,110.34 : 13,661.69 = 3,185.96 : x
2. Step 2: Convert to fraction form
   9,110.34/13,661.69 = 3,185.96/x
3. Step 3: Cross multiply
   9,110.34x = 13,661.69 × 3,185.96
4. Step 4: Simplify right side
   9,110.34x = 43,525,513.63
5. Step 5: Solve for x
   x = 43,525,513.63/9,110.34
6. Step 6: Final answer
   x = 4,777.59