Finding the Fourth Proportional to 1,066.57, 1,600.76 and 417.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.57 : 1,600.76 = 417.76 : x
2. Step 2: Convert to fraction form
   1,066.57/1,600.76 = 417.76/x
3. Step 3: Cross multiply
   1,066.57x = 1,600.76 × 417.76
4. Step 4: Simplify right side
   1,066.57x = 668,723.41
5. Step 5: Solve for x
   x = 668,723.41/1,066.57
6. Step 6: Final answer
   x = 626.99