Finding the Fourth Proportional to 2,511.33, 3,766.59 and 1,584.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,511.33 : 3,766.59 = 1,584.06 : x
2. Step 2: Convert to fraction form
   2,511.33/3,766.59 = 1,584.06/x
3. Step 3: Cross multiply
   2,511.33x = 3,766.59 × 1,584.06
4. Step 4: Simplify right side
   2,511.33x = 5,966,504.56
5. Step 5: Solve for x
   x = 5,966,504.56/2,511.33
6. Step 6: Final answer
   x = 2,375.83