Finding the Fourth Proportional to 10,391.78, 14,340.49 and 5,675.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,391.78 : 14,340.49 = 5,675.96 : x
2. Step 2: Convert to fraction form
   10,391.78/14,340.49 = 5,675.96/x
3. Step 3: Cross multiply
   10,391.78x = 14,340.49 × 5,675.96
4. Step 4: Simplify right side
   10,391.78x = 81,395,961.73
5. Step 5: Solve for x
   x = 81,395,961.73/10,391.78
6. Step 6: Final answer
   x = 7,832.73