Finding the Fourth Proportional to 11,774.49, 17,647.56 and 5,193.24

Step by Step Solution

1. Step 1: Write the proportion equation
   11,774.49 : 17,647.56 = 5,193.24 : x
2. Step 2: Convert to fraction form
   11,774.49/17,647.56 = 5,193.24/x
3. Step 3: Cross multiply
   11,774.49x = 17,647.56 × 5,193.24
4. Step 4: Simplify right side
   11,774.49x = 91,648,014.49
5. Step 5: Solve for x
   x = 91,648,014.49/11,774.49
6. Step 6: Final answer
   x = 7,783.61