Finding the Fourth Proportional to 1,066.42, 1,471.70 and 646.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.42 : 1,471.70 = 646.86 : x
2. Step 2: Convert to fraction form
   1,066.42/1,471.70 = 646.86/x
3. Step 3: Cross multiply
   1,066.42x = 1,471.70 × 646.86
4. Step 4: Simplify right side
   1,066.42x = 951,983.86
5. Step 5: Solve for x
   x = 951,983.86/1,066.42
6. Step 6: Final answer
   x = 892.69