Finding the Fourth Proportional to 1,456.72, 2,185.02 and 361.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.72 : 2,185.02 = 361.06 : x
2. Step 2: Convert to fraction form
   1,456.72/2,185.02 = 361.06/x
3. Step 3: Cross multiply
   1,456.72x = 2,185.02 × 361.06
4. Step 4: Simplify right side
   1,456.72x = 788,923.32
5. Step 5: Solve for x
   x = 788,923.32/1,456.72
6. Step 6: Final answer
   x = 541.58