Finding the Fourth Proportional to 10,456.69, 14,430.35 and 5,676.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.69 : 14,430.35 = 5,676.68 : x
2. Step 2: Convert to fraction form
   10,456.69/14,430.35 = 5,676.68/x
3. Step 3: Cross multiply
   10,456.69x = 14,430.35 × 5,676.68
4. Step 4: Simplify right side
   10,456.69x = 81,916,416.40
5. Step 5: Solve for x
   x = 81,916,416.40/10,456.69
6. Step 6: Final answer
   x = 7,833.88