Finding the Fourth Proportional to 1,066.56, 1,470.24 and 833.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.56 : 1,470.24 = 833.28 : x
2. Step 2: Convert to fraction form
   1,066.56/1,470.24 = 833.28/x
3. Step 3: Cross multiply
   1,066.56x = 1,470.24 × 833.28
4. Step 4: Simplify right side
   1,066.56x = 1,225,121.59
5. Step 5: Solve for x
   x = 1,225,121.59/1,066.56
6. Step 6: Final answer
   x = 1,148.67