Finding the Fourth Proportional to 2,271.15, 3,133.71 and 1,642.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,271.15 : 3,133.71 = 1,642.64 : x
2. Step 2: Convert to fraction form
   2,271.15/3,133.71 = 1,642.64/x
3. Step 3: Cross multiply
   2,271.15x = 3,133.71 × 1,642.64
4. Step 4: Simplify right side
   2,271.15x = 5,147,541.73
5. Step 5: Solve for x
   x = 5,147,541.73/2,271.15
6. Step 6: Final answer
   x = 2,266.49