Finding the Fourth Proportional to 9,742.89, 14,617.84 and 3,169.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742.89 : 14,617.84 = 3,169.09 : x
2. Step 2: Convert to fraction form
   9,742.89/14,617.84 = 3,169.09/x
3. Step 3: Cross multiply
   9,742.89x = 14,617.84 × 3,169.09
4. Step 4: Simplify right side
   9,742.89x = 46,325,250.57
5. Step 5: Solve for x
   x = 46,325,250.57/9,742.89
6. Step 6: Final answer
   x = 4,754.78