Finding the Fourth Proportional to 1,584.42, 2,186.52 and 885.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.42 : 2,186.52 = 885.78 : x
2. Step 2: Convert to fraction form
   1,584.42/2,186.52 = 885.78/x
3. Step 3: Cross multiply
   1,584.42x = 2,186.52 × 885.78
4. Step 4: Simplify right side
   1,584.42x = 1,936,775.69
5. Step 5: Solve for x
   x = 1,936,775.69/1,584.42
6. Step 6: Final answer
   x = 1,222.39