Finding the Fourth Proportional to 10,778.16, 16,164.28 and 7,648.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,778.16 : 16,164.28 = 7,648.88 : x
2. Step 2: Convert to fraction form
   10,778.16/16,164.28 = 7,648.88/x
3. Step 3: Cross multiply
   10,778.16x = 16,164.28 × 7,648.88
4. Step 4: Simplify right side
   10,778.16x = 123,638,638.01
5. Step 5: Solve for x
   x = 123,638,638.01/10,778.16
6. Step 6: Final answer
   x = 11,471.22