Finding the Fourth Proportional to 11,739, 16,201.76 and 7,024.20

Step by Step Solution

1. Step 1: Write the proportion equation
   11,739 : 16,201.76 = 7,024.20 : x
2. Step 2: Convert to fraction form
   11,739/16,201.76 = 7,024.20/x
3. Step 3: Cross multiply
   11,739x = 16,201.76 × 7,024.20
4. Step 4: Simplify right side
   11,739x = 113,804,402.59
5. Step 5: Solve for x
   x = 113,804,402.59/11,739
6. Step 6: Final answer
   x = 9,694.56