Finding the Fourth Proportional to 10,453.76, 14,426.56 and 5,738.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,453.76 : 14,426.56 = 5,738.40 : x
2. Step 2: Convert to fraction form
   10,453.76/14,426.56 = 5,738.40/x
3. Step 3: Cross multiply
   10,453.76x = 14,426.56 × 5,738.40
4. Step 4: Simplify right side
   10,453.76x = 82,785,371.90
5. Step 5: Solve for x
   x = 82,785,371.90/10,453.76
6. Step 6: Final answer
   x = 7,919.20