Finding the Fourth Proportional to 12,128.82, 16,738.73 and 6,824.02

Step by Step Solution

1. Step 1: Write the proportion equation
   12,128.82 : 16,738.73 = 6,824.02 : x
2. Step 2: Convert to fraction form
   12,128.82/16,738.73 = 6,824.02/x
3. Step 3: Cross multiply
   12,128.82x = 16,738.73 × 6,824.02
4. Step 4: Simplify right side
   12,128.82x = 114,225,428.29
5. Step 5: Solve for x
   x = 114,225,428.29/12,128.82
6. Step 6: Final answer
   x = 9,417.69