Finding the Fourth Proportional to 10,814.12, 14,923.50 and 5,846.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,814.12 : 14,923.50 = 5,846.12 : x
2. Step 2: Convert to fraction form
   10,814.12/14,923.50 = 5,846.12/x
3. Step 3: Cross multiply
   10,814.12x = 14,923.50 × 5,846.12
4. Step 4: Simplify right side
   10,814.12x = 87,244,571.82
5. Step 5: Solve for x
   x = 87,244,571.82/10,814.12
6. Step 6: Final answer
   x = 8,067.65