Finding the Fourth Proportional to 9,141.78, 13,711.61 and 2,568.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,141.78 : 13,711.61 = 2,568.53 : x
2. Step 2: Convert to fraction form
   9,141.78/13,711.61 = 2,568.53/x
3. Step 3: Cross multiply
   9,141.78x = 13,711.61 × 2,568.53
4. Step 4: Simplify right side
   9,141.78x = 35,218,600.23
5. Step 5: Solve for x
   x = 35,218,600.23/9,141.78
6. Step 6: Final answer
   x = 3,852.49