Finding the Fourth Proportional to 1,583.98, 2,185.99 and 875.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,583.98 : 2,185.99 = 875.82 : x
2. Step 2: Convert to fraction form
   1,583.98/2,185.99 = 875.82/x
3. Step 3: Cross multiply
   1,583.98x = 2,185.99 × 875.82
4. Step 4: Simplify right side
   1,583.98x = 1,914,533.76
5. Step 5: Solve for x
   x = 1,914,533.76/1,583.98
6. Step 6: Final answer
   x = 1,208.69