Finding the Fourth Proportional to 10,214.24, 14,097.06 and 5,738.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.24 : 14,097.06 = 5,738.33 : x
2. Step 2: Convert to fraction form
   10,214.24/14,097.06 = 5,738.33/x
3. Step 3: Cross multiply
   10,214.24x = 14,097.06 × 5,738.33
4. Step 4: Simplify right side
   10,214.24x = 80,893,554.40
5. Step 5: Solve for x
   x = 80,893,554.40/10,214.24
6. Step 6: Final answer
   x = 7,919.69