Finding the Fourth Proportional to 9,916.56, 13,683.33 and 5,724

Step by Step Solution

1. Step 1: Write the proportion equation
   9,916.56 : 13,683.33 = 5,724 : x
2. Step 2: Convert to fraction form
   9,916.56/13,683.33 = 5,724/x
3. Step 3: Cross multiply
   9,916.56x = 13,683.33 × 5,724
4. Step 4: Simplify right side
   9,916.56x = 78,323,380.92
5. Step 5: Solve for x
   x = 78,323,380.92/9,916.56
6. Step 6: Final answer
   x = 7,898.24