Finding the Fourth Proportional to 10,814, 14,923.34 and 5,846

Step by Step Solution

1. Step 1: Write the proportion equation
   10,814 : 14,923.34 = 5,846 : x
2. Step 2: Convert to fraction form
   10,814/14,923.34 = 5,846/x
3. Step 3: Cross multiply
   10,814x = 14,923.34 × 5,846
4. Step 4: Simplify right side
   10,814x = 87,241,845.64
5. Step 5: Solve for x
   x = 87,241,845.64/10,814
6. Step 6: Final answer
   x = 8,067.49