Finding the Fourth Proportional to 10,480.86, 14,463.47 and 5,765.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,480.86 : 14,463.47 = 5,765.14 : x
2. Step 2: Convert to fraction form
   10,480.86/14,463.47 = 5,765.14/x
3. Step 3: Cross multiply
   10,480.86x = 14,463.47 × 5,765.14
4. Step 4: Simplify right side
   10,480.86x = 83,383,909.02
5. Step 5: Solve for x
   x = 83,383,909.02/10,480.86
6. Step 6: Final answer
   x = 7,955.83