Finding the Fourth Proportional to 9,454.12, 13,046.96 and 5,205.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,454.12 : 13,046.96 = 5,205.62 : x
2. Step 2: Convert to fraction form
   9,454.12/13,046.96 = 5,205.62/x
3. Step 3: Cross multiply
   9,454.12x = 13,046.96 × 5,205.62
4. Step 4: Simplify right side
   9,454.12x = 67,917,561.55
5. Step 5: Solve for x
   x = 67,917,561.55/9,454.12
6. Step 6: Final answer
   x = 7,183.91