Finding the Fourth Proportional to 10,083.57, 13,915.32 and 5,667.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083.57 : 13,915.32 = 5,667.57 : x
2. Step 2: Convert to fraction form
   10,083.57/13,915.32 = 5,667.57/x
3. Step 3: Cross multiply
   10,083.57x = 13,915.32 × 5,667.57
4. Step 4: Simplify right side
   10,083.57x = 78,866,050.17
5. Step 5: Solve for x
   x = 78,866,050.17/10,083.57
6. Step 6: Final answer
   x = 7,821.24