Finding the Fourth Proportional to 5,111.20, 7,667.52 and 1,648

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.20 : 7,667.52 = 1,648 : x
2. Step 2: Convert to fraction form
   5,111.20/7,667.52 = 1,648/x
3. Step 3: Cross multiply
   5,111.20x = 7,667.52 × 1,648
4. Step 4: Simplify right side
   5,111.20x = 12,636,072.96
5. Step 5: Solve for x
   x = 12,636,072.96/5,111.20
6. Step 6: Final answer
   x = 2,472.23