Finding the Fourth Proportional to 10,275, 14,179.47 and 5,559.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,275 : 14,179.47 = 5,559.27 : x
2. Step 2: Convert to fraction form
   10,275/14,179.47 = 5,559.27/x
3. Step 3: Cross multiply
   10,275x = 14,179.47 × 5,559.27
4. Step 4: Simplify right side
   10,275x = 78,827,502.19
5. Step 5: Solve for x
   x = 78,827,502.19/10,275
6. Step 6: Final answer
   x = 7,671.78