Finding the Fourth Proportional to 3,932.42, 5,426.88 and 2,164.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,932.42 : 5,426.88 = 2,164.16 : x
2. Step 2: Convert to fraction form
   3,932.42/5,426.88 = 2,164.16/x
3. Step 3: Cross multiply
   3,932.42x = 5,426.88 × 2,164.16
4. Step 4: Simplify right side
   3,932.42x = 11,744,636.62
5. Step 5: Solve for x
   x = 11,744,636.62/3,932.42
6. Step 6: Final answer
   x = 2,986.62