Finding the Fourth Proportional to 1,028.64, 1,541.52 and 738.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.64 : 1,541.52 = 738.72 : x
2. Step 2: Convert to fraction form
   1,028.64/1,541.52 = 738.72/x
3. Step 3: Cross multiply
   1,028.64x = 1,541.52 × 738.72
4. Step 4: Simplify right side
   1,028.64x = 1,138,751.65
5. Step 5: Solve for x
   x = 1,138,751.65/1,028.64
6. Step 6: Final answer
   x = 1,107.05