Finding the Fourth Proportional to 1,584.71, 2,185.79 and 986.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.71 : 2,185.79 = 986.71 : x
2. Step 2: Convert to fraction form
   1,584.71/2,185.79 = 986.71/x
3. Step 3: Cross multiply
   1,584.71x = 2,185.79 × 986.71
4. Step 4: Simplify right side
   1,584.71x = 2,156,728.40
5. Step 5: Solve for x
   x = 2,156,728.40/1,584.71
6. Step 6: Final answer
   x = 1,360.96