Finding the Fourth Proportional to 1,106.52, 1,527.59 and 857.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.52 : 1,527.59 = 857.28 : x
2. Step 2: Convert to fraction form
   1,106.52/1,527.59 = 857.28/x
3. Step 3: Cross multiply
   1,106.52x = 1,527.59 × 857.28
4. Step 4: Simplify right side
   1,106.52x = 1,309,568.07
5. Step 5: Solve for x
   x = 1,309,568.07/1,106.52
6. Step 6: Final answer
   x = 1,183.50