Finding the Fourth Proportional to 10,814.25, 14,923.67 and 5,846.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,814.25 : 14,923.67 = 5,846.25 : x
2. Step 2: Convert to fraction form
   10,814.25/14,923.67 = 5,846.25/x
3. Step 3: Cross multiply
   10,814.25x = 14,923.67 × 5,846.25
4. Step 4: Simplify right side
   10,814.25x = 87,247,476.51
5. Step 5: Solve for x
   x = 87,247,476.51/10,814.25
6. Step 6: Final answer
   x = 8,067.83