Finding the Fourth Proportional to 1,585.31, 2,187.74 and 886.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.31 : 2,187.74 = 886.69 : x
2. Step 2: Convert to fraction form
   1,585.31/2,187.74 = 886.69/x
3. Step 3: Cross multiply
   1,585.31x = 2,187.74 × 886.69
4. Step 4: Simplify right side
   1,585.31x = 1,939,837.28
5. Step 5: Solve for x
   x = 1,939,837.28/1,585.31
6. Step 6: Final answer
   x = 1,223.63