Finding the Fourth Proportional to 10,814.42, 14,923.80 and 5,846.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,814.42 : 14,923.80 = 5,846.42 : x
2. Step 2: Convert to fraction form
   10,814.42/14,923.80 = 5,846.42/x
3. Step 3: Cross multiply
   10,814.42x = 14,923.80 × 5,846.42
4. Step 4: Simplify right side
   10,814.42x = 87,250,802.80
5. Step 5: Solve for x
   x = 87,250,802.80/10,814.42
6. Step 6: Final answer
   x = 8,068.01