Finding the Fourth Proportional to 1,066.22, 1,471.56 and 646.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.22 : 1,471.56 = 646.92 : x
2. Step 2: Convert to fraction form
   1,066.22/1,471.56 = 646.92/x
3. Step 3: Cross multiply
   1,066.22x = 1,471.56 × 646.92
4. Step 4: Simplify right side
   1,066.22x = 951,981.60
5. Step 5: Solve for x
   x = 951,981.60/1,066.22
6. Step 6: Final answer
   x = 892.86