Finding the Fourth Proportional to 1,057.35, 1,585.42 and 363.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.35 : 1,585.42 = 363.82 : x
2. Step 2: Convert to fraction form
   1,057.35/1,585.42 = 363.82/x
3. Step 3: Cross multiply
   1,057.35x = 1,585.42 × 363.82
4. Step 4: Simplify right side
   1,057.35x = 576,807.50
5. Step 5: Solve for x
   x = 576,807.50/1,057.35
6. Step 6: Final answer
   x = 545.52