Finding the Fourth Proportional to 10,214.43, 14,095.40 and 5,738.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.43 : 14,095.40 = 5,738.37 : x
2. Step 2: Convert to fraction form
   10,214.43/14,095.40 = 5,738.37/x
3. Step 3: Cross multiply
   10,214.43x = 14,095.40 × 5,738.37
4. Step 4: Simplify right side
   10,214.43x = 80,884,591.81
5. Step 5: Solve for x
   x = 80,884,591.81/10,214.43
6. Step 6: Final answer
   x = 7,918.66