Finding the Fourth Proportional to 1,871.60, 2,582.24 and 1,085.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,871.60 : 2,582.24 = 1,085.49 : x
2. Step 2: Convert to fraction form
   1,871.60/2,582.24 = 1,085.49/x
3. Step 3: Cross multiply
   1,871.60x = 2,582.24 × 1,085.49
4. Step 4: Simplify right side
   1,871.60x = 2,802,990.27
5. Step 5: Solve for x
   x = 2,802,990.27/1,871.60
6. Step 6: Final answer
   x = 1,497.65