Finding the Fourth Proportional to 1,541.34, 2,127.05 and 842.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,541.34 : 2,127.05 = 842.71 : x
2. Step 2: Convert to fraction form
   1,541.34/2,127.05 = 842.71/x
3. Step 3: Cross multiply
   1,541.34x = 2,127.05 × 842.71
4. Step 4: Simplify right side
   1,541.34x = 1,792,486.31
5. Step 5: Solve for x
   x = 1,792,486.31/1,541.34
6. Step 6: Final answer
   x = 1,162.94