Finding the Fourth Proportional to 10,214.73, 14,095.80 and 5,738.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.73 : 14,095.80 = 5,738.67 : x
2. Step 2: Convert to fraction form
   10,214.73/14,095.80 = 5,738.67/x
3. Step 3: Cross multiply
   10,214.73x = 14,095.80 × 5,738.67
4. Step 4: Simplify right side
   10,214.73x = 80,891,144.59
5. Step 5: Solve for x
   x = 80,891,144.59/10,214.73
6. Step 6: Final answer
   x = 7,919.07