Finding the Fourth Proportional to 1,238.22, 1,857.30 and 416.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.22 : 1,857.30 = 416.56 : x
2. Step 2: Convert to fraction form
   1,238.22/1,857.30 = 416.56/x
3. Step 3: Cross multiply
   1,238.22x = 1,857.30 × 416.56
4. Step 4: Simplify right side
   1,238.22x = 773,676.89
5. Step 5: Solve for x
   x = 773,676.89/1,238.22
6. Step 6: Final answer
   x = 624.83