Finding the Fourth Proportional to 1,541.57, 2,127.37 and 842.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,541.57 : 2,127.37 = 842.94 : x
2. Step 2: Convert to fraction form
   1,541.57/2,127.37 = 842.94/x
3. Step 3: Cross multiply
   1,541.57x = 2,127.37 × 842.94
4. Step 4: Simplify right side
   1,541.57x = 1,793,245.27
5. Step 5: Solve for x
   x = 1,793,245.27/1,541.57
6. Step 6: Final answer
   x = 1,163.26