Finding the Fourth Proportional to 1,542.54, 2,314.38 and 1,107.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,542.54 : 2,314.38 = 1,107.27 : x
2. Step 2: Convert to fraction form
   1,542.54/2,314.38 = 1,107.27/x
3. Step 3: Cross multiply
   1,542.54x = 2,314.38 × 1,107.27
4. Step 4: Simplify right side
   1,542.54x = 2,562,643.54
5. Step 5: Solve for x
   x = 2,562,643.54/1,542.54
6. Step 6: Final answer
   x = 1,661.31