Finding the Fourth Proportional to 10,083.50, 13,915.24 and 5,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083.50 : 13,915.24 = 5,667.50 : x
2. Step 2: Convert to fraction form
   10,083.50/13,915.24 = 5,667.50/x
3. Step 3: Cross multiply
   10,083.50x = 13,915.24 × 5,667.50
4. Step 4: Simplify right side
   10,083.50x = 78,864,622.70
5. Step 5: Solve for x
   x = 78,864,622.70/10,083.50
6. Step 6: Final answer
   x = 7,821.16