Finding the Fourth Proportional to 1,541.31, 2,127.01 and 842.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,541.31 : 2,127.01 = 842.69 : x
2. Step 2: Convert to fraction form
   1,541.31/2,127.01 = 842.69/x
3. Step 3: Cross multiply
   1,541.31x = 2,127.01 × 842.69
4. Step 4: Simplify right side
   1,541.31x = 1,792,410.06
5. Step 5: Solve for x
   x = 1,792,410.06/1,541.31
6. Step 6: Final answer
   x = 1,162.91