Finding the Fourth Proportional to 11,765.33, 17,648.02 and 5,009.17

Step by Step Solution

1. Step 1: Write the proportion equation
   11,765.33 : 17,648.02 = 5,009.17 : x
2. Step 2: Convert to fraction form
   11,765.33/17,648.02 = 5,009.17/x
3. Step 3: Cross multiply
   11,765.33x = 17,648.02 × 5,009.17
4. Step 4: Simplify right side
   11,765.33x = 88,401,932.34
5. Step 5: Solve for x
   x = 88,401,932.34/11,765.33
6. Step 6: Final answer
   x = 7,513.77