Finding the Fourth Proportional to 9,396.84, 12,967.56 and 5,205

Step by Step Solution

1. Step 1: Write the proportion equation
   9,396.84 : 12,967.56 = 5,205 : x
2. Step 2: Convert to fraction form
   9,396.84/12,967.56 = 5,205/x
3. Step 3: Cross multiply
   9,396.84x = 12,967.56 × 5,205
4. Step 4: Simplify right side
   9,396.84x = 67,496,149.80
5. Step 5: Solve for x
   x = 67,496,149.80/9,396.84
6. Step 6: Final answer
   x = 7,182.86