Finding the Fourth Proportional to 1,464.27, 2,196.71 and 490.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.27 : 2,196.71 = 490.30 : x
2. Step 2: Convert to fraction form
   1,464.27/2,196.71 = 490.30/x
3. Step 3: Cross multiply
   1,464.27x = 2,196.71 × 490.30
4. Step 4: Simplify right side
   1,464.27x = 1,077,035.93
5. Step 5: Solve for x
   x = 1,077,035.93/1,464.27
6. Step 6: Final answer
   x = 735.54