Finding the Fourth Proportional to 1,066.41, 1,470.89 and 712.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.41 : 1,470.89 = 712.16 : x
2. Step 2: Convert to fraction form
   1,066.41/1,470.89 = 712.16/x
3. Step 3: Cross multiply
   1,066.41x = 1,470.89 × 712.16
4. Step 4: Simplify right side
   1,066.41x = 1,047,498.11
5. Step 5: Solve for x
   x = 1,047,498.11/1,066.41
6. Step 6: Final answer
   x = 982.27