Finding the Fourth Proportional to 1,583.95, 2,185.83 and 875.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,583.95 : 2,185.83 = 875.84 : x
2. Step 2: Convert to fraction form
   1,583.95/2,185.83 = 875.84/x
3. Step 3: Cross multiply
   1,583.95x = 2,185.83 × 875.84
4. Step 4: Simplify right side
   1,583.95x = 1,914,434.61
5. Step 5: Solve for x
   x = 1,914,434.61/1,583.95
6. Step 6: Final answer
   x = 1,208.65