Finding the Fourth Proportional to 2,216.24, 3,057.52 and 1,586.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,216.24 : 3,057.52 = 1,586.80 : x
2. Step 2: Convert to fraction form
   2,216.24/3,057.52 = 1,586.80/x
3. Step 3: Cross multiply
   2,216.24x = 3,057.52 × 1,586.80
4. Step 4: Simplify right side
   2,216.24x = 4,851,672.74
5. Step 5: Solve for x
   x = 4,851,672.74/2,216.24
6. Step 6: Final answer
   x = 2,189.15