Finding the Fourth Proportional to 10,452.61, 14,424.12 and 5,736.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,452.61 : 14,424.12 = 5,736.97 : x
2. Step 2: Convert to fraction form
   10,452.61/14,424.12 = 5,736.97/x
3. Step 3: Cross multiply
   10,452.61x = 14,424.12 × 5,736.97
4. Step 4: Simplify right side
   10,452.61x = 82,750,743.72
5. Step 5: Solve for x
   x = 82,750,743.72/10,452.61
6. Step 6: Final answer
   x = 7,916.75