Finding the Fourth Proportional to 11,738.40, 16,196.16 and 7,024.32

Step by Step Solution

1. Step 1: Write the proportion equation
   11,738.40 : 16,196.16 = 7,024.32 : x
2. Step 2: Convert to fraction form
   11,738.40/16,196.16 = 7,024.32/x
3. Step 3: Cross multiply
   11,738.40x = 16,196.16 × 7,024.32
4. Step 4: Simplify right side
   11,738.40x = 113,767,010.61
5. Step 5: Solve for x
   x = 113,767,010.61/11,738.40
6. Step 6: Final answer
   x = 9,691.87