Finding the Fourth Proportional to 10,480.96, 14,464.20 and 5,765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,480.96 : 14,464.20 = 5,765.50 : x
2. Step 2: Convert to fraction form
   10,480.96/14,464.20 = 5,765.50/x
3. Step 3: Cross multiply
   10,480.96x = 14,464.20 × 5,765.50
4. Step 4: Simplify right side
   10,480.96x = 83,393,345.10
5. Step 5: Solve for x
   x = 83,393,345.10/10,480.96
6. Step 6: Final answer
   x = 7,956.65