Finding the Fourth Proportional to 11,768.70, 17,648.16 and 5,011.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,768.70 : 17,648.16 = 5,011.38 : x
2. Step 2: Convert to fraction form
   11,768.70/17,648.16 = 5,011.38/x
3. Step 3: Cross multiply
   11,768.70x = 17,648.16 × 5,011.38
4. Step 4: Simplify right side
   11,768.70x = 88,441,636.06
5. Step 5: Solve for x
   x = 88,441,636.06/11,768.70
6. Step 6: Final answer
   x = 7,514.99