Finding the Fourth Proportional to 2,584.05, 3,892.56 and 2,359.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.05 : 3,892.56 = 2,359.89 : x
2. Step 2: Convert to fraction form
   2,584.05/3,892.56 = 2,359.89/x
3. Step 3: Cross multiply
   2,584.05x = 3,892.56 × 2,359.89
4. Step 4: Simplify right side
   2,584.05x = 9,186,013.42
5. Step 5: Solve for x
   x = 9,186,013.42/2,584.05
6. Step 6: Final answer
   x = 3,554.89