Finding the Fourth Proportional to 10,453.92, 14,426.52 and 5,738.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,453.92 : 14,426.52 = 5,738.10 : x
2. Step 2: Convert to fraction form
   10,453.92/14,426.52 = 5,738.10/x
3. Step 3: Cross multiply
   10,453.92x = 14,426.52 × 5,738.10
4. Step 4: Simplify right side
   10,453.92x = 82,780,814.41
5. Step 5: Solve for x
   x = 82,780,814.41/10,453.92
6. Step 6: Final answer
   x = 7,918.64