Finding the Fourth Proportional to 11,738.88, 16,204.72 and 7,022.26

Step by Step Solution

1. Step 1: Write the proportion equation
   11,738.88 : 16,204.72 = 7,022.26 : x
2. Step 2: Convert to fraction form
   11,738.88/16,204.72 = 7,022.26/x
3. Step 3: Cross multiply
   11,738.88x = 16,204.72 × 7,022.26
4. Step 4: Simplify right side
   11,738.88x = 113,793,757.07
5. Step 5: Solve for x
   x = 113,793,757.07/11,738.88
6. Step 6: Final answer
   x = 9,693.75