Finding the Fourth Proportional to 10,214.33, 14,097.31 and 5,738.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.33 : 14,097.31 = 5,738.47 : x
2. Step 2: Convert to fraction form
   10,214.33/14,097.31 = 5,738.47/x
3. Step 3: Cross multiply
   10,214.33x = 14,097.31 × 5,738.47
4. Step 4: Simplify right side
   10,214.33x = 80,896,940.93
5. Step 5: Solve for x
   x = 80,896,940.93/10,214.33
6. Step 6: Final answer
   x = 7,919.95