Finding the Fourth Proportional to 5,111.26, 7,667.97 and 1,648.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.26 : 7,667.97 = 1,648.42 : x
2. Step 2: Convert to fraction form
   5,111.26/7,667.97 = 1,648.42/x
3. Step 3: Cross multiply
   5,111.26x = 7,667.97 × 1,648.42
4. Step 4: Simplify right side
   5,111.26x = 12,640,035.11
5. Step 5: Solve for x
   x = 12,640,035.11/5,111.26
6. Step 6: Final answer
   x = 2,472.98