Finding the Fourth Proportional to 10,214.49, 14,097.37 and 5,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.49 : 14,097.37 = 5,738.50 : x
2. Step 2: Convert to fraction form
   10,214.49/14,097.37 = 5,738.50/x
3. Step 3: Cross multiply
   10,214.49x = 14,097.37 × 5,738.50
4. Step 4: Simplify right side
   10,214.49x = 80,897,687.26
5. Step 5: Solve for x
   x = 80,897,687.26/10,214.49
6. Step 6: Final answer
   x = 7,919.89