Finding the Fourth Proportional to 1,583.37, 2,185.85 and 1,142.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,583.37 : 2,185.85 = 1,142.33 : x
2. Step 2: Convert to fraction form
   1,583.37/2,185.85 = 1,142.33/x
3. Step 3: Cross multiply
   1,583.37x = 2,185.85 × 1,142.33
4. Step 4: Simplify right side
   1,583.37x = 2,496,953.96
5. Step 5: Solve for x
   x = 2,496,953.96/1,583.37
6. Step 6: Final answer
   x = 1,576.99