Finding the Fourth Proportional to 2,171.42, 3,251.61 and 1,584.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,171.42 : 3,251.61 = 1,584.02 : x
2. Step 2: Convert to fraction form
   2,171.42/3,251.61 = 1,584.02/x
3. Step 3: Cross multiply
   2,171.42x = 3,251.61 × 1,584.02
4. Step 4: Simplify right side
   2,171.42x = 5,150,615.27
5. Step 5: Solve for x
   x = 5,150,615.27/2,171.42
6. Step 6: Final answer
   x = 2,372.00