Finding the Fourth Proportional to 2,584.64, 3,564.96 and 2,234.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.64 : 3,564.96 = 2,234.72 : x
2. Step 2: Convert to fraction form
   2,584.64/3,564.96 = 2,234.72/x
3. Step 3: Cross multiply
   2,584.64x = 3,564.96 × 2,234.72
4. Step 4: Simplify right side
   2,584.64x = 7,966,687.41
5. Step 5: Solve for x
   x = 7,966,687.41/2,584.64
6. Step 6: Final answer
   x = 3,082.32