Finding the Fourth Proportional to 11,776.40, 17,648.52 and 5,936.96

Step by Step Solution

1. Step 1: Write the proportion equation
   11,776.40 : 17,648.52 = 5,936.96 : x
2. Step 2: Convert to fraction form
   11,776.40/17,648.52 = 5,936.96/x
3. Step 3: Cross multiply
   11,776.40x = 17,648.52 × 5,936.96
4. Step 4: Simplify right side
   11,776.40x = 104,778,557.30
5. Step 5: Solve for x
   x = 104,778,557.30/11,776.40
6. Step 6: Final answer
   x = 8,897.33