Finding the Fourth Proportional to 10,578.82, 14,599.02 and 5,863

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578.82 : 14,599.02 = 5,863 : x
2. Step 2: Convert to fraction form
   10,578.82/14,599.02 = 5,863/x
3. Step 3: Cross multiply
   10,578.82x = 14,599.02 × 5,863
4. Step 4: Simplify right side
   10,578.82x = 85,594,054.26
5. Step 5: Solve for x
   x = 85,594,054.26/10,578.82
6. Step 6: Final answer
   x = 8,091.08