Finding the Fourth Proportional to 1,057.34, 1,585.83 and 287.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.34 : 1,585.83 = 287.84 : x
2. Step 2: Convert to fraction form
   1,057.34/1,585.83 = 287.84/x
3. Step 3: Cross multiply
   1,057.34x = 1,585.83 × 287.84
4. Step 4: Simplify right side
   1,057.34x = 456,465.31
5. Step 5: Solve for x
   x = 456,465.31/1,057.34
6. Step 6: Final answer
   x = 431.71