Finding the Fourth Proportional to 1,584.59, 2,186.73 and 885.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.59 : 2,186.73 = 885.96 : x
2. Step 2: Convert to fraction form
   1,584.59/2,186.73 = 885.96/x
3. Step 3: Cross multiply
   1,584.59x = 2,186.73 × 885.96
4. Step 4: Simplify right side
   1,584.59x = 1,937,355.31
5. Step 5: Solve for x
   x = 1,937,355.31/1,584.59
6. Step 6: Final answer
   x = 1,222.63