Finding the Fourth Proportional to 5,111.56, 7,666.48 and 1,648.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.56 : 7,666.48 = 1,648.81 : x
2. Step 2: Convert to fraction form
   5,111.56/7,666.48 = 1,648.81/x
3. Step 3: Cross multiply
   5,111.56x = 7,666.48 × 1,648.81
4. Step 4: Simplify right side
   5,111.56x = 12,640,580.53
5. Step 5: Solve for x
   x = 12,640,580.53/5,111.56
6. Step 6: Final answer
   x = 2,472.94