Finding the Fourth Proportional to 10,320.39, 14,244.68 and 5,846.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,320.39 : 14,244.68 = 5,846.78 : x
2. Step 2: Convert to fraction form
   10,320.39/14,244.68 = 5,846.78/x
3. Step 3: Cross multiply
   10,320.39x = 14,244.68 × 5,846.78
4. Step 4: Simplify right side
   10,320.39x = 83,285,453.52
5. Step 5: Solve for x
   x = 83,285,453.52/10,320.39
6. Step 6: Final answer
   x = 8,069.99