Finding the Fourth Proportional to 10,456.19, 14,429.47 and 5,676.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.19 : 14,429.47 = 5,676.22 : x
2. Step 2: Convert to fraction form
   10,456.19/14,429.47 = 5,676.22/x
3. Step 3: Cross multiply
   10,456.19x = 14,429.47 × 5,676.22
4. Step 4: Simplify right side
   10,456.19x = 81,904,795.94
5. Step 5: Solve for x
   x = 81,904,795.94/10,456.19
6. Step 6: Final answer
   x = 7,833.14