Finding the Fourth Proportional to 1,584.34, 2,186.34 and 885.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.34 : 2,186.34 = 885.72 : x
2. Step 2: Convert to fraction form
   1,584.34/2,186.34 = 885.72/x
3. Step 3: Cross multiply
   1,584.34x = 2,186.34 × 885.72
4. Step 4: Simplify right side
   1,584.34x = 1,936,485.06
5. Step 5: Solve for x
   x = 1,936,485.06/1,584.34
6. Step 6: Final answer
   x = 1,222.27