Finding the Fourth Proportional to 1,238.04, 1,856.72 and 416.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.04 : 1,856.72 = 416.34 : x
2. Step 2: Convert to fraction form
   1,238.04/1,856.72 = 416.34/x
3. Step 3: Cross multiply
   1,238.04x = 1,856.72 × 416.34
4. Step 4: Simplify right side
   1,238.04x = 773,026.80
5. Step 5: Solve for x
   x = 773,026.80/1,238.04
6. Step 6: Final answer
   x = 624.40