Finding the Fourth Proportional to 1,585.34, 2,187.72 and 886.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.34 : 2,187.72 = 886.72 : x
2. Step 2: Convert to fraction form
   1,585.34/2,187.72 = 886.72/x
3. Step 3: Cross multiply
   1,585.34x = 2,187.72 × 886.72
4. Step 4: Simplify right side
   1,585.34x = 1,939,895.08
5. Step 5: Solve for x
   x = 1,939,895.08/1,585.34
6. Step 6: Final answer
   x = 1,223.65