Finding the Fourth Proportional to 1,066.48, 1,470.69 and 712.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.48 : 1,470.69 = 712.33 : x
2. Step 2: Convert to fraction form
   1,066.48/1,470.69 = 712.33/x
3. Step 3: Cross multiply
   1,066.48x = 1,470.69 × 712.33
4. Step 4: Simplify right side
   1,066.48x = 1,047,616.61
5. Step 5: Solve for x
   x = 1,047,616.61/1,066.48
6. Step 6: Final answer
   x = 982.31