Finding the Fourth Proportional to 10,382.15, 14,327.83 and 5,846.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.15 : 14,327.83 = 5,846.39 : x
2. Step 2: Convert to fraction form
   10,382.15/14,327.83 = 5,846.39/x
3. Step 3: Cross multiply
   10,382.15x = 14,327.83 × 5,846.39
4. Step 4: Simplify right side
   10,382.15x = 83,766,010.39
5. Step 5: Solve for x
   x = 83,766,010.39/10,382.15
6. Step 6: Final answer
   x = 8,068.28