Finding the Fourth Proportional to 2,123.60, 3,185.06 and 584.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.60 : 3,185.06 = 584.24 : x
2. Step 2: Convert to fraction form
   2,123.60/3,185.06 = 584.24/x
3. Step 3: Cross multiply
   2,123.60x = 3,185.06 × 584.24
4. Step 4: Simplify right side
   2,123.60x = 1,860,839.45
5. Step 5: Solve for x
   x = 1,860,839.45/2,123.60
6. Step 6: Final answer
   x = 876.27