Finding the Fourth Proportional to 2,136.72, 3,201.84 and 1,586.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,136.72 : 3,201.84 = 1,586.32 : x
2. Step 2: Convert to fraction form
   2,136.72/3,201.84 = 1,586.32/x
3. Step 3: Cross multiply
   2,136.72x = 3,201.84 × 1,586.32
4. Step 4: Simplify right side
   2,136.72x = 5,079,142.83
5. Step 5: Solve for x
   x = 5,079,142.83/2,136.72
6. Step 6: Final answer
   x = 2,377.07