Finding the Fourth Proportional to 2,123.86, 3,185.42 and 584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.86 : 3,185.42 = 584.50 : x
2. Step 2: Convert to fraction form
   2,123.86/3,185.42 = 584.50/x
3. Step 3: Cross multiply
   2,123.86x = 3,185.42 × 584.50
4. Step 4: Simplify right side
   2,123.86x = 1,861,877.99
5. Step 5: Solve for x
   x = 1,861,877.99/2,123.86
6. Step 6: Final answer
   x = 876.65