Finding the Fourth Proportional to 3,932.50, 5,426.72 and 2,164

Step by Step Solution

1. Step 1: Write the proportion equation
   3,932.50 : 5,426.72 = 2,164 : x
2. Step 2: Convert to fraction form
   3,932.50/5,426.72 = 2,164/x
3. Step 3: Cross multiply
   3,932.50x = 5,426.72 × 2,164
4. Step 4: Simplify right side
   3,932.50x = 11,743,422.08
5. Step 5: Solve for x
   x = 11,743,422.08/3,932.50
6. Step 6: Final answer
   x = 2,986.25