Finding the Fourth Proportional to 11,544.96, 17,314.96 and 3,648.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,544.96 : 17,314.96 = 3,648.10 : x
2. Step 2: Convert to fraction form
   11,544.96/17,314.96 = 3,648.10/x
3. Step 3: Cross multiply
   11,544.96x = 17,314.96 × 3,648.10
4. Step 4: Simplify right side
   11,544.96x = 63,166,705.58
5. Step 5: Solve for x
   x = 63,166,705.58/11,544.96
6. Step 6: Final answer
   x = 5,471.37