Finding the Fourth Proportional to 1,066.28, 1,598.76 and 416.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.28 : 1,598.76 = 416.25 : x
2. Step 2: Convert to fraction form
   1,066.28/1,598.76 = 416.25/x
3. Step 3: Cross multiply
   1,066.28x = 1,598.76 × 416.25
4. Step 4: Simplify right side
   1,066.28x = 665,483.85
5. Step 5: Solve for x
   x = 665,483.85/1,066.28
6. Step 6: Final answer
   x = 624.12