Finding the Fourth Proportional to 9,164.42, 12,645.33 and 5,976.87

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.42 : 12,645.33 = 5,976.87 : x
2. Step 2: Convert to fraction form
   9,164.42/12,645.33 = 5,976.87/x
3. Step 3: Cross multiply
   9,164.42x = 12,645.33 × 5,976.87
4. Step 4: Simplify right side
   9,164.42x = 75,579,423.68
5. Step 5: Solve for x
   x = 75,579,423.68/9,164.42
6. Step 6: Final answer
   x = 8,247.05