Finding the Fourth Proportional to 2,123.56, 3,185.34 and 584.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.56 : 3,185.34 = 584.56 : x
2. Step 2: Convert to fraction form
   2,123.56/3,185.34 = 584.56/x
3. Step 3: Cross multiply
   2,123.56x = 3,185.34 × 584.56
4. Step 4: Simplify right side
   2,123.56x = 1,862,022.35
5. Step 5: Solve for x
   x = 1,862,022.35/2,123.56
6. Step 6: Final answer
   x = 876.84