Finding the Fourth Proportional to 1,584.06, 2,185.83 and 875.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.06 : 2,185.83 = 875.90 : x
2. Step 2: Convert to fraction form
   1,584.06/2,185.83 = 875.90/x
3. Step 3: Cross multiply
   1,584.06x = 2,185.83 × 875.90
4. Step 4: Simplify right side
   1,584.06x = 1,914,557.57
5. Step 5: Solve for x
   x = 1,914,557.57/1,584.06
6. Step 6: Final answer
   x = 1,208.64