Finding the Fourth Proportional to 9,265.10, 12,786.16 and 5,286.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,265.10 : 12,786.16 = 5,286.82 : x
2. Step 2: Convert to fraction form
   9,265.10/12,786.16 = 5,286.82/x
3. Step 3: Cross multiply
   9,265.10x = 12,786.16 × 5,286.82
4. Step 4: Simplify right side
   9,265.10x = 67,598,126.41
5. Step 5: Solve for x
   x = 67,598,126.41/9,265.10
6. Step 6: Final answer
   x = 7,296.00