Finding the Fourth Proportional to 1,583.49, 2,185.32 and 875.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,583.49 : 2,185.32 = 875.35 : x
2. Step 2: Convert to fraction form
   1,583.49/2,185.32 = 875.35/x
3. Step 3: Cross multiply
   1,583.49x = 2,185.32 × 875.35
4. Step 4: Simplify right side
   1,583.49x = 1,912,919.86
5. Step 5: Solve for x
   x = 1,912,919.86/1,583.49
6. Step 6: Final answer
   x = 1,208.04