Finding the Fourth Proportional to 2,281.94, 3,422.82 and 1,586.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,281.94 : 3,422.82 = 1,586.56 : x
2. Step 2: Convert to fraction form
   2,281.94/3,422.82 = 1,586.56/x
3. Step 3: Cross multiply
   2,281.94x = 3,422.82 × 1,586.56
4. Step 4: Simplify right side
   2,281.94x = 5,430,509.30
5. Step 5: Solve for x
   x = 5,430,509.30/2,281.94
6. Step 6: Final answer
   x = 2,379.78