Finding the Fourth Proportional to 1,003.35, 1,504.63 and 417.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.35 : 1,504.63 = 417.96 : x
2. Step 2: Convert to fraction form
   1,003.35/1,504.63 = 417.96/x
3. Step 3: Cross multiply
   1,003.35x = 1,504.63 × 417.96
4. Step 4: Simplify right side
   1,003.35x = 628,875.15
5. Step 5: Solve for x
   x = 628,875.15/1,003.35
6. Step 6: Final answer
   x = 626.78