Finding the Fourth Proportional to 10,084.50, 13,916.62 and 5,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084.50 : 13,916.62 = 5,668.50 : x
2. Step 2: Convert to fraction form
   10,084.50/13,916.62 = 5,668.50/x
3. Step 3: Cross multiply
   10,084.50x = 13,916.62 × 5,668.50
4. Step 4: Simplify right side
   10,084.50x = 78,886,360.47
5. Step 5: Solve for x
   x = 78,886,360.47/10,084.50
6. Step 6: Final answer
   x = 7,822.54