Finding the Fourth Proportional to 9,396.77, 12,967.89 and 5,205.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,396.77 : 12,967.89 = 5,205.02 : x
2. Step 2: Convert to fraction form
   9,396.77/12,967.89 = 5,205.02/x
3. Step 3: Cross multiply
   9,396.77x = 12,967.89 × 5,205.02
4. Step 4: Simplify right side
   9,396.77x = 67,498,159.23
5. Step 5: Solve for x
   x = 67,498,159.23/9,396.77
6. Step 6: Final answer
   x = 7,183.12