Finding the Fourth Proportional to 2,123.25, 3,184.89 and 584.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.25 : 3,184.89 = 584.25 : x
2. Step 2: Convert to fraction form
   2,123.25/3,184.89 = 584.25/x
3. Step 3: Cross multiply
   2,123.25x = 3,184.89 × 584.25
4. Step 4: Simplify right side
   2,123.25x = 1,860,771.98
5. Step 5: Solve for x
   x = 1,860,771.98/2,123.25
6. Step 6: Final answer
   x = 876.38