Finding the Fourth Proportional to 9,114.98, 12,578.61 and 5,137.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.98 : 12,578.61 = 5,137.37 : x
2. Step 2: Convert to fraction form
   9,114.98/12,578.61 = 5,137.37/x
3. Step 3: Cross multiply
   9,114.98x = 12,578.61 × 5,137.37
4. Step 4: Simplify right side
   9,114.98x = 64,620,910.76
5. Step 5: Solve for x
   x = 64,620,910.76/9,114.98
6. Step 6: Final answer
   x = 7,089.53