Finding the Fourth Proportional to 1,542.23, 2,128.31 and 843.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,542.23 : 2,128.31 = 843.59 : x
2. Step 2: Convert to fraction form
   1,542.23/2,128.31 = 843.59/x
3. Step 3: Cross multiply
   1,542.23x = 2,128.31 × 843.59
4. Step 4: Simplify right side
   1,542.23x = 1,795,421.03
5. Step 5: Solve for x
   x = 1,795,421.03/1,542.23
6. Step 6: Final answer
   x = 1,164.17