Finding the Fourth Proportional to 11,616.32, 16,022.30 and 7,142.58

Step by Step Solution

1. Step 1: Write the proportion equation
   11,616.32 : 16,022.30 = 7,142.58 : x
2. Step 2: Convert to fraction form
   11,616.32/16,022.30 = 7,142.58/x
3. Step 3: Cross multiply
   11,616.32x = 16,022.30 × 7,142.58
4. Step 4: Simplify right side
   11,616.32x = 114,440,559.53
5. Step 5: Solve for x
   x = 114,440,559.53/11,616.32
6. Step 6: Final answer
   x = 9,851.71