Finding the Fourth Proportional to 2,584.56, 3,883.60 and 1,415.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.56 : 3,883.60 = 1,415.32 : x
2. Step 2: Convert to fraction form
   2,584.56/3,883.60 = 1,415.32/x
3. Step 3: Cross multiply
   2,584.56x = 3,883.60 × 1,415.32
4. Step 4: Simplify right side
   2,584.56x = 5,496,536.75
5. Step 5: Solve for x
   x = 5,496,536.75/2,584.56
6. Step 6: Final answer
   x = 2,126.68