Finding the Fourth Proportional to 10,456.68, 14,430.16 and 5,676.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.68 : 14,430.16 = 5,676.72 : x
2. Step 2: Convert to fraction form
   10,456.68/14,430.16 = 5,676.72/x
3. Step 3: Cross multiply
   10,456.68x = 14,430.16 × 5,676.72
4. Step 4: Simplify right side
   10,456.68x = 81,915,977.88
5. Step 5: Solve for x
   x = 81,915,977.88/10,456.68
6. Step 6: Final answer
   x = 7,833.84