Finding the Fourth Proportional to 10,215.53, 14,097.97 and 5,678.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,215.53 : 14,097.97 = 5,678.71 : x
2. Step 2: Convert to fraction form
   10,215.53/14,097.97 = 5,678.71/x
3. Step 3: Cross multiply
   10,215.53x = 14,097.97 × 5,678.71
4. Step 4: Simplify right side
   10,215.53x = 80,058,255.07
5. Step 5: Solve for x
   x = 80,058,255.07/10,215.53
6. Step 6: Final answer
   x = 7,836.92