Finding the Fourth Proportional to 10,214.68, 14,094.42 and 5,738.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.68 : 14,094.42 = 5,738.62 : x
2. Step 2: Convert to fraction form
   10,214.68/14,094.42 = 5,738.62/x
3. Step 3: Cross multiply
   10,214.68x = 14,094.42 × 5,738.62
4. Step 4: Simplify right side
   10,214.68x = 80,882,520.50
5. Step 5: Solve for x
   x = 80,882,520.50/10,214.68
6. Step 6: Final answer
   x = 7,918.26