Finding the Fourth Proportional to 1,542.14, 2,128.17 and 843.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,542.14 : 2,128.17 = 843.50 : x
2. Step 2: Convert to fraction form
   1,542.14/2,128.17 = 843.50/x
3. Step 3: Cross multiply
   1,542.14x = 2,128.17 × 843.50
4. Step 4: Simplify right side
   1,542.14x = 1,795,111.40
5. Step 5: Solve for x
   x = 1,795,111.40/1,542.14
6. Step 6: Final answer
   x = 1,164.04