Finding the Fourth Proportional to 1,584.32, 2,186.42 and 885.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.32 : 2,186.42 = 885.69 : x
2. Step 2: Convert to fraction form
   1,584.32/2,186.42 = 885.69/x
3. Step 3: Cross multiply
   1,584.32x = 2,186.42 × 885.69
4. Step 4: Simplify right side
   1,584.32x = 1,936,485.90
5. Step 5: Solve for x
   x = 1,936,485.90/1,584.32
6. Step 6: Final answer
   x = 1,222.29