Finding the Fourth Proportional to 10,767.72, 16,148.88 and 7,638.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,767.72 : 16,148.88 = 7,638.60 : x
2. Step 2: Convert to fraction form
   10,767.72/16,148.88 = 7,638.60/x
3. Step 3: Cross multiply
   10,767.72x = 16,148.88 × 7,638.60
4. Step 4: Simplify right side
   10,767.72x = 123,354,834.77
5. Step 5: Solve for x
   x = 123,354,834.77/10,767.72
6. Step 6: Final answer
   x = 11,455.98