Finding the Fourth Proportional to 10,608.34, 14,639.46 and 5,892.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,608.34 : 14,639.46 = 5,892.64 : x
2. Step 2: Convert to fraction form
   10,608.34/14,639.46 = 5,892.64/x
3. Step 3: Cross multiply
   10,608.34x = 14,639.46 × 5,892.64
4. Step 4: Simplify right side
   10,608.34x = 86,265,067.57
5. Step 5: Solve for x
   x = 86,265,067.57/10,608.34
6. Step 6: Final answer
   x = 8,131.82