Finding the Fourth Proportional to 9,185.49, 12,676.52 and 5,152.66

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.49 : 12,676.52 = 5,152.66 : x
2. Step 2: Convert to fraction form
   9,185.49/12,676.52 = 5,152.66/x
3. Step 3: Cross multiply
   9,185.49x = 12,676.52 × 5,152.66
4. Step 4: Simplify right side
   9,185.49x = 65,317,778.73
5. Step 5: Solve for x
   x = 65,317,778.73/9,185.49
6. Step 6: Final answer
   x = 7,110.97