Finding the Fourth Proportional to 9,578.37, 14,336.82 and 5,124.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,578.37 : 14,336.82 = 5,124.89 : x
2. Step 2: Convert to fraction form
   9,578.37/14,336.82 = 5,124.89/x
3. Step 3: Cross multiply
   9,578.37x = 14,336.82 × 5,124.89
4. Step 4: Simplify right side
   9,578.37x = 73,474,625.45
5. Step 5: Solve for x
   x = 73,474,625.45/9,578.37
6. Step 6: Final answer
   x = 7,670.89