Finding the Fourth Proportional to 10,452.38, 14,424.21 and 5,736.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,452.38 : 14,424.21 = 5,736.69 : x
2. Step 2: Convert to fraction form
   10,452.38/14,424.21 = 5,736.69/x
3. Step 3: Cross multiply
   10,452.38x = 14,424.21 × 5,736.69
4. Step 4: Simplify right side
   10,452.38x = 82,747,221.26
5. Step 5: Solve for x
   x = 82,747,221.26/10,452.38
6. Step 6: Final answer
   x = 7,916.60