Finding the Fourth Proportional to 9,185.32, 12,674.70 and 5,205.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.32 : 12,674.70 = 5,205.58 : x
2. Step 2: Convert to fraction form
   9,185.32/12,674.70 = 5,205.58/x
3. Step 3: Cross multiply
   9,185.32x = 12,674.70 × 5,205.58
4. Step 4: Simplify right side
   9,185.32x = 65,979,164.83
5. Step 5: Solve for x
   x = 65,979,164.83/9,185.32
6. Step 6: Final answer
   x = 7,183.11