Finding the Fourth Proportional to 1,842.43, 2,766.42 and 1,585.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,842.43 : 2,766.42 = 1,585.23 : x
2. Step 2: Convert to fraction form
   1,842.43/2,766.42 = 1,585.23/x
3. Step 3: Cross multiply
   1,842.43x = 2,766.42 × 1,585.23
4. Step 4: Simplify right side
   1,842.43x = 4,385,404.05
5. Step 5: Solve for x
   x = 4,385,404.05/1,842.43
6. Step 6: Final answer
   x = 2,380.23