Finding the Fourth Proportional to 10,084.57, 13,916.64 and 5,608.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084.57 : 13,916.64 = 5,608.29 : x
2. Step 2: Convert to fraction form
   10,084.57/13,916.64 = 5,608.29/x
3. Step 3: Cross multiply
   10,084.57x = 13,916.64 × 5,608.29
4. Step 4: Simplify right side
   10,084.57x = 78,048,552.95
5. Step 5: Solve for x
   x = 78,048,552.95/10,084.57
6. Step 6: Final answer
   x = 7,739.40