Finding the Fourth Proportional to 1,542.72, 2,128.96 and 844.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,542.72 : 2,128.96 = 844.16 : x
2. Step 2: Convert to fraction form
   1,542.72/2,128.96 = 844.16/x
3. Step 3: Cross multiply
   1,542.72x = 2,128.96 × 844.16
4. Step 4: Simplify right side
   1,542.72x = 1,797,182.87
5. Step 5: Solve for x
   x = 1,797,182.87/1,542.72
6. Step 6: Final answer
   x = 1,164.94