Finding the Fourth Proportional to 2,584.64, 3,566.81 and 1,405.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.64 : 3,566.81 = 1,405.71 : x
2. Step 2: Convert to fraction form
   2,584.64/3,566.81 = 1,405.71/x
3. Step 3: Cross multiply
   2,584.64x = 3,566.81 × 1,405.71
4. Step 4: Simplify right side
   2,584.64x = 5,013,893.46
5. Step 5: Solve for x
   x = 5,013,893.46/2,584.64
6. Step 6: Final answer
   x = 1,939.88