Finding the Fourth Proportional to 1,542.53, 2,128.71 and 843.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,542.53 : 2,128.71 = 843.91 : x
2. Step 2: Convert to fraction form
   1,542.53/2,128.71 = 843.91/x
3. Step 3: Cross multiply
   1,542.53x = 2,128.71 × 843.91
4. Step 4: Simplify right side
   1,542.53x = 1,796,429.01
5. Step 5: Solve for x
   x = 1,796,429.01/1,542.53
6. Step 6: Final answer
   x = 1,164.60