Finding the Fourth Proportional to 1,066.18, 1,471.61 and 646.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.18 : 1,471.61 = 646.55 : x
2. Step 2: Convert to fraction form
   1,066.18/1,471.61 = 646.55/x
3. Step 3: Cross multiply
   1,066.18x = 1,471.61 × 646.55
4. Step 4: Simplify right side
   1,066.18x = 951,469.45
5. Step 5: Solve for x
   x = 951,469.45/1,066.18
6. Step 6: Final answer
   x = 892.41