Finding the Fourth Proportional to 1,648.49, 2,472.71 and 415.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.49 : 2,472.71 = 415.89 : x
2. Step 2: Convert to fraction form
   1,648.49/2,472.71 = 415.89/x
3. Step 3: Cross multiply
   1,648.49x = 2,472.71 × 415.89
4. Step 4: Simplify right side
   1,648.49x = 1,028,386.94
5. Step 5: Solve for x
   x = 1,028,386.94/1,648.49
6. Step 6: Final answer
   x = 623.83