Finding the Fourth Proportional to 2,584.98, 3,567.35 and 1,406.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.98 : 3,567.35 = 1,406.13 : x
2. Step 2: Convert to fraction form
   2,584.98/3,567.35 = 1,406.13/x
3. Step 3: Cross multiply
   2,584.98x = 3,567.35 × 1,406.13
4. Step 4: Simplify right side
   2,584.98x = 5,016,157.86
5. Step 5: Solve for x
   x = 5,016,157.86/2,584.98
6. Step 6: Final answer
   x = 1,940.50