Finding the Fourth Proportional to 2,581.32, 3,561.50 and 1,586.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.32 : 3,561.50 = 1,586.22 : x
2. Step 2: Convert to fraction form
   2,581.32/3,561.50 = 1,586.22/x
3. Step 3: Cross multiply
   2,581.32x = 3,561.50 × 1,586.22
4. Step 4: Simplify right side
   2,581.32x = 5,649,322.53
5. Step 5: Solve for x
   x = 5,649,322.53/2,581.32
6. Step 6: Final answer
   x = 2,188.54