Finding the Fourth Proportional to 1,066.16, 1,471.62 and 646.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.16 : 1,471.62 = 646.52 : x
2. Step 2: Convert to fraction form
   1,066.16/1,471.62 = 646.52/x
3. Step 3: Cross multiply
   1,066.16x = 1,471.62 × 646.52
4. Step 4: Simplify right side
   1,066.16x = 951,431.76
5. Step 5: Solve for x
   x = 951,431.76/1,066.16
6. Step 6: Final answer
   x = 892.39