Finding the Fourth Proportional to 10,975.94, 15,146.81 and 5,940.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,975.94 : 15,146.81 = 5,940.17 : x
2. Step 2: Convert to fraction form
   10,975.94/15,146.81 = 5,940.17/x
3. Step 3: Cross multiply
   10,975.94x = 15,146.81 × 5,940.17
4. Step 4: Simplify right side
   10,975.94x = 89,974,633.41
5. Step 5: Solve for x
   x = 89,974,633.41/10,975.94
6. Step 6: Final answer
   x = 8,197.44