Finding the Fourth Proportional to 10,453.88, 14,426.74 and 5,738.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,453.88 : 14,426.74 = 5,738.12 : x
2. Step 2: Convert to fraction form
   10,453.88/14,426.74 = 5,738.12/x
3. Step 3: Cross multiply
   10,453.88x = 14,426.74 × 5,738.12
4. Step 4: Simplify right side
   10,453.88x = 82,782,365.33
5. Step 5: Solve for x
   x = 82,782,365.33/10,453.88
6. Step 6: Final answer
   x = 7,918.82