Finding the Fourth Proportional to 1,584.84, 2,185.98 and 1,086.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.84 : 2,185.98 = 1,086.60 : x
2. Step 2: Convert to fraction form
   1,584.84/2,185.98 = 1,086.60/x
3. Step 3: Cross multiply
   1,584.84x = 2,185.98 × 1,086.60
4. Step 4: Simplify right side
   1,584.84x = 2,375,285.87
5. Step 5: Solve for x
   x = 2,375,285.87/1,584.84
6. Step 6: Final answer
   x = 1,498.75