Finding the Fourth Proportional to 10,213.97, 14,095.17 and 5,676.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,213.97 : 14,095.17 = 5,676.63 : x
2. Step 2: Convert to fraction form
   10,213.97/14,095.17 = 5,676.63/x
3. Step 3: Cross multiply
   10,213.97x = 14,095.17 × 5,676.63
4. Step 4: Simplify right side
   10,213.97x = 80,012,994.40
5. Step 5: Solve for x
   x = 80,012,994.40/10,213.97
6. Step 6: Final answer
   x = 7,833.68