Finding the Fourth Proportional to 5,096.34, 7,644.71 and 1,586.41

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096.34 : 7,644.71 = 1,586.41 : x
2. Step 2: Convert to fraction form
   5,096.34/7,644.71 = 1,586.41/x
3. Step 3: Cross multiply
   5,096.34x = 7,644.71 × 1,586.41
4. Step 4: Simplify right side
   5,096.34x = 12,127,629.25
5. Step 5: Solve for x
   x = 12,127,629.25/5,096.34
6. Step 6: Final answer
   x = 2,379.67