Finding the Fourth Proportional to 10,884, 15,019.92 and 5,916

Step by Step Solution

1. Step 1: Write the proportion equation
   10,884 : 15,019.92 = 5,916 : x
2. Step 2: Convert to fraction form
   10,884/15,019.92 = 5,916/x
3. Step 3: Cross multiply
   10,884x = 15,019.92 × 5,916
4. Step 4: Simplify right side
   10,884x = 88,857,846.72
5. Step 5: Solve for x
   x = 88,857,846.72/10,884
6. Step 6: Final answer
   x = 8,164.08