Finding the Fourth Proportional to 1,057.56, 1,586.33 and 432.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.56 : 1,586.33 = 432.72 : x
2. Step 2: Convert to fraction form
   1,057.56/1,586.33 = 432.72/x
3. Step 3: Cross multiply
   1,057.56x = 1,586.33 × 432.72
4. Step 4: Simplify right side
   1,057.56x = 686,436.72
5. Step 5: Solve for x
   x = 686,436.72/1,057.56
6. Step 6: Final answer
   x = 649.08