Finding the Fourth Proportional to 13,506.32, 18,638.78 and 7,538.39

Step by Step Solution

1. Step 1: Write the proportion equation
   13,506.32 : 18,638.78 = 7,538.39 : x
2. Step 2: Convert to fraction form
   13,506.32/18,638.78 = 7,538.39/x
3. Step 3: Cross multiply
   13,506.32x = 18,638.78 × 7,538.39
4. Step 4: Simplify right side
   13,506.32x = 140,506,447.80
5. Step 5: Solve for x
   x = 140,506,447.80/13,506.32
6. Step 6: Final answer
   x = 10,403.02