Finding the Fourth Proportional to 11,822.76, 16,315.56 and 7,638.30

Step by Step Solution

1. Step 1: Write the proportion equation
   11,822.76 : 16,315.56 = 7,638.30 : x
2. Step 2: Convert to fraction form
   11,822.76/16,315.56 = 7,638.30/x
3. Step 3: Cross multiply
   11,822.76x = 16,315.56 × 7,638.30
4. Step 4: Simplify right side
   11,822.76x = 124,623,141.95
5. Step 5: Solve for x
   x = 124,623,141.95/11,822.76
6. Step 6: Final answer
   x = 10,540.95