Finding the Fourth Proportional to 1,066.29, 1,471.73 and 646.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.29 : 1,471.73 = 646.98 : x
2. Step 2: Convert to fraction form
   1,066.29/1,471.73 = 646.98/x
3. Step 3: Cross multiply
   1,066.29x = 1,471.73 × 646.98
4. Step 4: Simplify right side
   1,066.29x = 952,176.64
5. Step 5: Solve for x
   x = 952,176.64/1,066.29
6. Step 6: Final answer
   x = 892.98