Finding the Fourth Proportional to 10,392.50, 14,341.59 and 5,676.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,392.50 : 14,341.59 = 5,676.75 : x
2. Step 2: Convert to fraction form
   10,392.50/14,341.59 = 5,676.75/x
3. Step 3: Cross multiply
   10,392.50x = 14,341.59 × 5,676.75
4. Step 4: Simplify right side
   10,392.50x = 81,413,621.03
5. Step 5: Solve for x
   x = 81,413,621.03/10,392.50
6. Step 6: Final answer
   x = 7,833.88