Finding the Fourth Proportional to 12,969.80, 17,897.59 and 7,665.11

Step by Step Solution

1. Step 1: Write the proportion equation
   12,969.80 : 17,897.59 = 7,665.11 : x
2. Step 2: Convert to fraction form
   12,969.80/17,897.59 = 7,665.11/x
3. Step 3: Cross multiply
   12,969.80x = 17,897.59 × 7,665.11
4. Step 4: Simplify right side
   12,969.80x = 137,186,996.08
5. Step 5: Solve for x
   x = 137,186,996.08/12,969.80
6. Step 6: Final answer
   x = 10,577.42