Finding the Fourth Proportional to 2,584.42, 3,566.46 and 1,405.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.42 : 3,566.46 = 1,405.46 : x
2. Step 2: Convert to fraction form
   2,584.42/3,566.46 = 1,405.46/x
3. Step 3: Cross multiply
   2,584.42x = 3,566.46 × 1,405.46
4. Step 4: Simplify right side
   2,584.42x = 5,012,516.87
5. Step 5: Solve for x
   x = 5,012,516.87/2,584.42
6. Step 6: Final answer
   x = 1,939.51