Finding the Fourth Proportional to 1,586.82, 2,187.69 and 1,089.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586.82 : 2,187.69 = 1,089.27 : x
2. Step 2: Convert to fraction form
   1,586.82/2,187.69 = 1,089.27/x
3. Step 3: Cross multiply
   1,586.82x = 2,187.69 × 1,089.27
4. Step 4: Simplify right side
   1,586.82x = 2,382,985.09
5. Step 5: Solve for x
   x = 2,382,985.09/1,586.82
6. Step 6: Final answer
   x = 1,501.74