Finding the Fourth Proportional to 10,929.56, 16,399.14 and 5,734.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,929.56 : 16,399.14 = 5,734.22 : x
2. Step 2: Convert to fraction form
   10,929.56/16,399.14 = 5,734.22/x
3. Step 3: Cross multiply
   10,929.56x = 16,399.14 × 5,734.22
4. Step 4: Simplify right side
   10,929.56x = 94,036,276.57
5. Step 5: Solve for x
   x = 94,036,276.57/10,929.56
6. Step 6: Final answer
   x = 8,603.85