Finding the Fourth Proportional to 9,469.14, 14,194.14 and 3,914.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,469.14 : 14,194.14 = 3,914.82 : x
2. Step 2: Convert to fraction form
   9,469.14/14,194.14 = 3,914.82/x
3. Step 3: Cross multiply
   9,469.14x = 14,194.14 × 3,914.82
4. Step 4: Simplify right side
   9,469.14x = 55,567,503.15
5. Step 5: Solve for x
   x = 55,567,503.15/9,469.14
6. Step 6: Final answer
   x = 5,868.27