Finding the Fourth Proportional to 10,456.52, 14,430 and 5,676.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.52 : 14,430 = 5,676.46 : x
2. Step 2: Convert to fraction form
   10,456.52/14,430 = 5,676.46/x
3. Step 3: Cross multiply
   10,456.52x = 14,430 × 5,676.46
4. Step 4: Simplify right side
   10,456.52x = 81,911,245.65
5. Step 5: Solve for x
   x = 81,911,245.65/10,456.52
6. Step 6: Final answer
   x = 7,833.51