Finding the Fourth Proportional to 10,084.27, 13,916.24 and 5,607.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084.27 : 13,916.24 = 5,607.76 : x
2. Step 2: Convert to fraction form
   10,084.27/13,916.24 = 5,607.76/x
3. Step 3: Cross multiply
   10,084.27x = 13,916.24 × 5,607.76
4. Step 4: Simplify right side
   10,084.27x = 78,038,905.98
5. Step 5: Solve for x
   x = 78,038,905.98/10,084.27
6. Step 6: Final answer
   x = 7,738.68