Finding the Fourth Proportional to 11,828.09, 17,722.05 and 7,138.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,828.09 : 17,722.05 = 7,138.25 : x
2. Step 2: Convert to fraction form
   11,828.09/17,722.05 = 7,138.25/x
3. Step 3: Cross multiply
   11,828.09x = 17,722.05 × 7,138.25
4. Step 4: Simplify right side
   11,828.09x = 126,504,334.80
5. Step 5: Solve for x
   x = 126,504,334.80/11,828.09
6. Step 6: Final answer
   x = 10,695.25