Finding the Fourth Proportional to 10,480.64, 14,462.76 and 5,764.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,480.64 : 14,462.76 = 5,764.16 : x
2. Step 2: Convert to fraction form
   10,480.64/14,462.76 = 5,764.16/x
3. Step 3: Cross multiply
   10,480.64x = 14,462.76 × 5,764.16
4. Step 4: Simplify right side
   10,480.64x = 83,365,662.68
5. Step 5: Solve for x
   x = 83,365,662.68/10,480.64
6. Step 6: Final answer
   x = 7,954.25