Finding the Fourth Proportional to 10,814.50, 14,924.01 and 5,846.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,814.50 : 14,924.01 = 5,846.50 : x
2. Step 2: Convert to fraction form
   10,814.50/14,924.01 = 5,846.50/x
3. Step 3: Cross multiply
   10,814.50x = 14,924.01 × 5,846.50
4. Step 4: Simplify right side
   10,814.50x = 87,253,224.47
5. Step 5: Solve for x
   x = 87,253,224.47/10,814.50
6. Step 6: Final answer
   x = 8,068.17