Finding the Fourth Proportional to 10,453.86, 14,426.34 and 5,738.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,453.86 : 14,426.34 = 5,738.16 : x
2. Step 2: Convert to fraction form
   10,453.86/14,426.34 = 5,738.16/x
3. Step 3: Cross multiply
   10,453.86x = 14,426.34 × 5,738.16
4. Step 4: Simplify right side
   10,453.86x = 82,780,647.13
5. Step 5: Solve for x
   x = 82,780,647.13/10,453.86
6. Step 6: Final answer
   x = 7,918.67