Finding the Fourth Proportional to 13,506.33, 18,638.57 and 7,538.05

Step by Step Solution

1. Step 1: Write the proportion equation
   13,506.33 : 18,638.57 = 7,538.05 : x
2. Step 2: Convert to fraction form
   13,506.33/18,638.57 = 7,538.05/x
3. Step 3: Cross multiply
   13,506.33x = 18,638.57 × 7,538.05
4. Step 4: Simplify right side
   13,506.33x = 140,498,472.59
5. Step 5: Solve for x
   x = 140,498,472.59/13,506.33
6. Step 6: Final answer
   x = 10,402.42