Finding the Fourth Proportional to 2,315.49, 3,470.81 and 1,584.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,315.49 : 3,470.81 = 1,584.87 : x
2. Step 2: Convert to fraction form
   2,315.49/3,470.81 = 1,584.87/x
3. Step 3: Cross multiply
   2,315.49x = 3,470.81 × 1,584.87
4. Step 4: Simplify right side
   2,315.49x = 5,500,774.72
5. Step 5: Solve for x
   x = 5,500,774.72/2,315.49
6. Step 6: Final answer
   x = 2,375.64