Finding the Fourth Proportional to 1,066.53, 1,471.40 and 646.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.53 : 1,471.40 = 646.61 : x
2. Step 2: Convert to fraction form
   1,066.53/1,471.40 = 646.61/x
3. Step 3: Cross multiply
   1,066.53x = 1,471.40 × 646.61
4. Step 4: Simplify right side
   1,066.53x = 951,411.36
5. Step 5: Solve for x
   x = 951,411.36/1,066.53
6. Step 6: Final answer
   x = 892.06