Finding the Fourth Proportional to 1,542.45, 2,128.61 and 843.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,542.45 : 2,128.61 = 843.82 : x
2. Step 2: Convert to fraction form
   1,542.45/2,128.61 = 843.82/x
3. Step 3: Cross multiply
   1,542.45x = 2,128.61 × 843.82
4. Step 4: Simplify right side
   1,542.45x = 1,796,163.69
5. Step 5: Solve for x
   x = 1,796,163.69/1,542.45
6. Step 6: Final answer
   x = 1,164.49