Finding the Fourth Proportional to 3,914.69, 5,404.61 and 2,589.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,914.69 : 5,404.61 = 2,589.53 : x
2. Step 2: Convert to fraction form
   3,914.69/5,404.61 = 2,589.53/x
3. Step 3: Cross multiply
   3,914.69x = 5,404.61 × 2,589.53
4. Step 4: Simplify right side
   3,914.69x = 13,995,386.79
5. Step 5: Solve for x
   x = 13,995,386.79/3,914.69
6. Step 6: Final answer
   x = 3,575.09