Finding the Fourth Proportional to 2,584.32, 3,876.72 and 1,486.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.32 : 3,876.72 = 1,486.56 : x
2. Step 2: Convert to fraction form
   2,584.32/3,876.72 = 1,486.56/x
3. Step 3: Cross multiply
   2,584.32x = 3,876.72 × 1,486.56
4. Step 4: Simplify right side
   2,584.32x = 5,762,976.88
5. Step 5: Solve for x
   x = 5,762,976.88/2,584.32
6. Step 6: Final answer
   x = 2,229.98