Finding the Fourth Proportional to 12,944.27, 17,858.88 and 7,638.10

Step by Step Solution

1. Step 1: Write the proportion equation
   12,944.27 : 17,858.88 = 7,638.10 : x
2. Step 2: Convert to fraction form
   12,944.27/17,858.88 = 7,638.10/x
3. Step 3: Cross multiply
   12,944.27x = 17,858.88 × 7,638.10
4. Step 4: Simplify right side
   12,944.27x = 136,407,866.68
5. Step 5: Solve for x
   x = 136,407,866.68/12,944.27
6. Step 6: Final answer
   x = 10,538.09