Finding the Fourth Proportional to 1,638.72, 2,271.96 and 1,584.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.72 : 2,271.96 = 1,584.72 : x
2. Step 2: Convert to fraction form
   1,638.72/2,271.96 = 1,584.72/x
3. Step 3: Cross multiply
   1,638.72x = 2,271.96 × 1,584.72
4. Step 4: Simplify right side
   1,638.72x = 3,600,420.45
5. Step 5: Solve for x
   x = 3,600,420.45/1,638.72
6. Step 6: Final answer
   x = 2,197.09