Finding the Fourth Proportional to 1,541.72, 2,127.72 and 843.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,541.72 : 2,127.72 = 843.20 : x
2. Step 2: Convert to fraction form
   1,541.72/2,127.72 = 843.20/x
3. Step 3: Cross multiply
   1,541.72x = 2,127.72 × 843.20
4. Step 4: Simplify right side
   1,541.72x = 1,794,093.50
5. Step 5: Solve for x
   x = 1,794,093.50/1,541.72
6. Step 6: Final answer
   x = 1,163.70