Finding the Fourth Proportional to 10,481.92, 14,465.34 and 5,766.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,481.92 : 14,465.34 = 5,766.16 : x
2. Step 2: Convert to fraction form
   10,481.92/14,465.34 = 5,766.16/x
3. Step 3: Cross multiply
   10,481.92x = 14,465.34 × 5,766.16
4. Step 4: Simplify right side
   10,481.92x = 83,409,464.89
5. Step 5: Solve for x
   x = 83,409,464.89/10,481.92
6. Step 6: Final answer
   x = 7,957.46