Finding the Fourth Proportional to 1,066.28, 1,471.49 and 646.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.28 : 1,471.49 = 646.55 : x
2. Step 2: Convert to fraction form
   1,066.28/1,471.49 = 646.55/x
3. Step 3: Cross multiply
   1,066.28x = 1,471.49 × 646.55
4. Step 4: Simplify right side
   1,066.28x = 951,381.27
5. Step 5: Solve for x
   x = 951,381.27/1,066.28
6. Step 6: Final answer
   x = 892.25