Finding the Fourth Proportional to 10,578.63, 14,598.50 and 5,863.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578.63 : 14,598.50 = 5,863.21 : x
2. Step 2: Convert to fraction form
   10,578.63/14,598.50 = 5,863.21/x
3. Step 3: Cross multiply
   10,578.63x = 14,598.50 × 5,863.21
4. Step 4: Simplify right side
   10,578.63x = 85,594,071.19
5. Step 5: Solve for x
   x = 85,594,071.19/10,578.63
6. Step 6: Final answer
   x = 8,091.22