Finding the Fourth Proportional to 2,584.64, 3,872.34 and 2,404.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.64 : 3,872.34 = 2,404.72 : x
2. Step 2: Convert to fraction form
   2,584.64/3,872.34 = 2,404.72/x
3. Step 3: Cross multiply
   2,584.64x = 3,872.34 × 2,404.72
4. Step 4: Simplify right side
   2,584.64x = 9,311,898.29
5. Step 5: Solve for x
   x = 9,311,898.29/2,584.64
6. Step 6: Final answer
   x = 3,602.78