Finding the Fourth Proportional to 1,541.50, 2,127.27 and 842.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,541.50 : 2,127.27 = 842.88 : x
2. Step 2: Convert to fraction form
   1,541.50/2,127.27 = 842.88/x
3. Step 3: Cross multiply
   1,541.50x = 2,127.27 × 842.88
4. Step 4: Simplify right side
   1,541.50x = 1,793,033.34
5. Step 5: Solve for x
   x = 1,793,033.34/1,541.50
6. Step 6: Final answer
   x = 1,163.17