Finding the Fourth Proportional to 10,084.88, 13,916.76 and 5,608.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084.88 : 13,916.76 = 5,608.64 : x
2. Step 2: Convert to fraction form
   10,084.88/13,916.76 = 5,608.64/x
3. Step 3: Cross multiply
   10,084.88x = 13,916.76 × 5,608.64
4. Step 4: Simplify right side
   10,084.88x = 78,054,096.81
5. Step 5: Solve for x
   x = 78,054,096.81/10,084.88
6. Step 6: Final answer
   x = 7,739.71