Finding the Fourth Proportional to 9,469.06, 14,185.37 and 5,296.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,469.06 : 14,185.37 = 5,296.41 : x
2. Step 2: Convert to fraction form
   9,469.06/14,185.37 = 5,296.41/x
3. Step 3: Cross multiply
   9,469.06x = 14,185.37 × 5,296.41
4. Step 4: Simplify right side
   9,469.06x = 75,131,548.76
5. Step 5: Solve for x
   x = 75,131,548.76/9,469.06
6. Step 6: Final answer
   x = 7,934.43