Finding the Fourth Proportional to 6,853.61, 9,452.89 and 4,164.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,853.61 : 9,452.89 = 4,164.82 : x
2. Step 2: Convert to fraction form
   6,853.61/9,452.89 = 4,164.82/x
3. Step 3: Cross multiply
   6,853.61x = 9,452.89 × 4,164.82
4. Step 4: Simplify right side
   6,853.61x = 39,369,585.33
5. Step 5: Solve for x
   x = 39,369,585.33/6,853.61
6. Step 6: Final answer
   x = 5,744.36