Finding the Fourth Proportional to 1,057.59, 1,586.34 and 288.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.59 : 1,586.34 = 288.09 : x
2. Step 2: Convert to fraction form
   1,057.59/1,586.34 = 288.09/x
3. Step 3: Cross multiply
   1,057.59x = 1,586.34 × 288.09
4. Step 4: Simplify right side
   1,057.59x = 457,008.69
5. Step 5: Solve for x
   x = 457,008.69/1,057.59
6. Step 6: Final answer
   x = 432.12