Finding the Fourth Proportional to 9,185.46, 12,676.07 and 5,206.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.46 : 12,676.07 = 5,206.48 : x
2. Step 2: Convert to fraction form
   9,185.46/12,676.07 = 5,206.48/x
3. Step 3: Cross multiply
   9,185.46x = 12,676.07 × 5,206.48
4. Step 4: Simplify right side
   9,185.46x = 65,997,704.93
5. Step 5: Solve for x
   x = 65,997,704.93/9,185.46
6. Step 6: Final answer
   x = 7,185.02