Finding the Fourth Proportional to 2,584.96, 3,567.24 and 1,406.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.96 : 3,567.24 = 1,406.02 : x
2. Step 2: Convert to fraction form
   2,584.96/3,567.24 = 1,406.02/x
3. Step 3: Cross multiply
   2,584.96x = 3,567.24 × 1,406.02
4. Step 4: Simplify right side
   2,584.96x = 5,015,610.78
5. Step 5: Solve for x
   x = 5,015,610.78/2,584.96
6. Step 6: Final answer
   x = 1,940.30