Finding the Fourth Proportional to 2,469.33, 3,407.07 and 1,586.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,469.33 : 3,407.07 = 1,586.34 : x
2. Step 2: Convert to fraction form
   2,469.33/3,407.07 = 1,586.34/x
3. Step 3: Cross multiply
   2,469.33x = 3,407.07 × 1,586.34
4. Step 4: Simplify right side
   2,469.33x = 5,404,771.42
5. Step 5: Solve for x
   x = 5,404,771.42/2,469.33
6. Step 6: Final answer
   x = 2,188.76