Finding the Fourth Proportional to 11,754.73, 17,638.29 and 5,185.45

Step by Step Solution

1. Step 1: Write the proportion equation
   11,754.73 : 17,638.29 = 5,185.45 : x
2. Step 2: Convert to fraction form
   11,754.73/17,638.29 = 5,185.45/x
3. Step 3: Cross multiply
   11,754.73x = 17,638.29 × 5,185.45
4. Step 4: Simplify right side
   11,754.73x = 91,462,470.88
5. Step 5: Solve for x
   x = 91,462,470.88/11,754.73
6. Step 6: Final answer
   x = 7,780.91