Finding the Fourth Proportional to 10,578.15, 14,597.82 and 5,862.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578.15 : 14,597.82 = 5,862.60 : x
2. Step 2: Convert to fraction form
   10,578.15/14,597.82 = 5,862.60/x
3. Step 3: Cross multiply
   10,578.15x = 14,597.82 × 5,862.60
4. Step 4: Simplify right side
   10,578.15x = 85,581,179.53
5. Step 5: Solve for x
   x = 85,581,179.53/10,578.15
6. Step 6: Final answer
   x = 8,090.37