Finding the Fourth Proportional to 11,738.32, 16,205.92 and 7,024.16

Step by Step Solution

1. Step 1: Write the proportion equation
   11,738.32 : 16,205.92 = 7,024.16 : x
2. Step 2: Convert to fraction form
   11,738.32/16,205.92 = 7,024.16/x
3. Step 3: Cross multiply
   11,738.32x = 16,205.92 × 7,024.16
4. Step 4: Simplify right side
   11,738.32x = 113,832,975.03
5. Step 5: Solve for x
   x = 113,832,975.03/11,738.32
6. Step 6: Final answer
   x = 9,697.55