Finding the Fourth Proportional to 10,578.72, 14,597.12 and 5,863

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578.72 : 14,597.12 = 5,863 : x
2. Step 2: Convert to fraction form
   10,578.72/14,597.12 = 5,863/x
3. Step 3: Cross multiply
   10,578.72x = 14,597.12 × 5,863
4. Step 4: Simplify right side
   10,578.72x = 85,582,914.56
5. Step 5: Solve for x
   x = 85,582,914.56/10,578.72
6. Step 6: Final answer
   x = 8,090.10