Finding the Fourth Proportional to 2,380.50, 3,286.23 and 1,585.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,380.50 : 3,286.23 = 1,585.15 : x
2. Step 2: Convert to fraction form
   2,380.50/3,286.23 = 1,585.15/x
3. Step 3: Cross multiply
   2,380.50x = 3,286.23 × 1,585.15
4. Step 4: Simplify right side
   2,380.50x = 5,209,167.48
5. Step 5: Solve for x
   x = 5,209,167.48/2,380.50
6. Step 6: Final answer
   x = 2,188.27