Finding the Fourth Proportional to 1,066.21, 1,598.69 and 416.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.21 : 1,598.69 = 416.18 : x
2. Step 2: Convert to fraction form
   1,066.21/1,598.69 = 416.18/x
3. Step 3: Cross multiply
   1,066.21x = 1,598.69 × 416.18
4. Step 4: Simplify right side
   1,066.21x = 665,342.80
5. Step 5: Solve for x
   x = 665,342.80/1,066.21
6. Step 6: Final answer
   x = 624.03