Finding the Fourth Proportional to 7,638.09, 10,540.71 and 4,496.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,638.09 : 10,540.71 = 4,496.10 : x
2. Step 2: Convert to fraction form
   7,638.09/10,540.71 = 4,496.10/x
3. Step 3: Cross multiply
   7,638.09x = 10,540.71 × 4,496.10
4. Step 4: Simplify right side
   7,638.09x = 47,392,086.23
5. Step 5: Solve for x
   x = 47,392,086.23/7,638.09
6. Step 6: Final answer
   x = 6,204.70