Finding the Fourth Proportional to 1,542.16, 2,315.52 and 1,109.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,542.16 : 2,315.52 = 1,109.20 : x
2. Step 2: Convert to fraction form
   1,542.16/2,315.52 = 1,109.20/x
3. Step 3: Cross multiply
   1,542.16x = 2,315.52 × 1,109.20
4. Step 4: Simplify right side
   1,542.16x = 2,568,374.78
5. Step 5: Solve for x
   x = 2,568,374.78/1,542.16
6. Step 6: Final answer
   x = 1,665.44