Finding the Fourth Proportional to 10,578.47, 15,863.60 and 5,645.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578.47 : 15,863.60 = 5,645.42 : x
2. Step 2: Convert to fraction form
   10,578.47/15,863.60 = 5,645.42/x
3. Step 3: Cross multiply
   10,578.47x = 15,863.60 × 5,645.42
4. Step 4: Simplify right side
   10,578.47x = 89,556,577.17
5. Step 5: Solve for x
   x = 89,556,577.17/10,578.47
6. Step 6: Final answer
   x = 8,465.93