Finding the Fourth Proportional to 10,361.82, 14,299.29 and 5,646.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,361.82 : 14,299.29 = 5,646.09 : x
2. Step 2: Convert to fraction form
   10,361.82/14,299.29 = 5,646.09/x
3. Step 3: Cross multiply
   10,361.82x = 14,299.29 × 5,646.09
4. Step 4: Simplify right side
   10,361.82x = 80,735,078.28
5. Step 5: Solve for x
   x = 80,735,078.28/10,361.82
6. Step 6: Final answer
   x = 7,791.59