Finding the Fourth Proportional to 11,836.25, 17,762.48 and 7,665.89

Step by Step Solution

1. Step 1: Write the proportion equation
   11,836.25 : 17,762.48 = 7,665.89 : x
2. Step 2: Convert to fraction form
   11,836.25/17,762.48 = 7,665.89/x
3. Step 3: Cross multiply
   11,836.25x = 17,762.48 × 7,665.89
4. Step 4: Simplify right side
   11,836.25x = 136,165,179.48
5. Step 5: Solve for x
   x = 136,165,179.48/11,836.25
6. Step 6: Final answer
   x = 11,504.08