Finding the Fourth Proportional to 5,111.13, 7,666.42 and 1,648.11

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.13 : 7,666.42 = 1,648.11 : x
2. Step 2: Convert to fraction form
   5,111.13/7,666.42 = 1,648.11/x
3. Step 3: Cross multiply
   5,111.13x = 7,666.42 × 1,648.11
4. Step 4: Simplify right side
   5,111.13x = 12,635,103.47
5. Step 5: Solve for x
   x = 12,635,103.47/5,111.13
6. Step 6: Final answer
   x = 2,472.08