Finding the Fourth Proportional to 1,585.43, 2,187.86 and 886.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.43 : 2,187.86 = 886.80 : x
2. Step 2: Convert to fraction form
   1,585.43/2,187.86 = 886.80/x
3. Step 3: Cross multiply
   1,585.43x = 2,187.86 × 886.80
4. Step 4: Simplify right side
   1,585.43x = 1,940,196.47
5. Step 5: Solve for x
   x = 1,940,196.47/1,585.43
6. Step 6: Final answer
   x = 1,223.77