Finding the Fourth Proportional to 10,391.82, 14,340.63 and 5,676

Step by Step Solution

1. Step 1: Write the proportion equation
   10,391.82 : 14,340.63 = 5,676 : x
2. Step 2: Convert to fraction form
   10,391.82/14,340.63 = 5,676/x
3. Step 3: Cross multiply
   10,391.82x = 14,340.63 × 5,676
4. Step 4: Simplify right side
   10,391.82x = 81,397,415.88
5. Step 5: Solve for x
   x = 81,397,415.88/10,391.82
6. Step 6: Final answer
   x = 7,832.84