Finding the Fourth Proportional to 10,361.97, 14,299.52 and 5,646.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,361.97 : 14,299.52 = 5,646.24 : x
2. Step 2: Convert to fraction form
   10,361.97/14,299.52 = 5,646.24/x
3. Step 3: Cross multiply
   10,361.97x = 14,299.52 × 5,646.24
4. Step 4: Simplify right side
   10,361.97x = 80,738,493.57
5. Step 5: Solve for x
   x = 80,738,493.57/10,361.97
6. Step 6: Final answer
   x = 7,791.81