Finding the Fourth Proportional to 1,585.87, 2,375.42 and 1,288.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.87 : 2,375.42 = 1,288.04 : x
2. Step 2: Convert to fraction form
   1,585.87/2,375.42 = 1,288.04/x
3. Step 3: Cross multiply
   1,585.87x = 2,375.42 × 1,288.04
4. Step 4: Simplify right side
   1,585.87x = 3,059,639.20
5. Step 5: Solve for x
   x = 3,059,639.20/1,585.87
6. Step 6: Final answer
   x = 1,929.31