Finding the Fourth Proportional to 11,773.49, 17,646.06 and 5,192.24

Step by Step Solution

1. Step 1: Write the proportion equation
   11,773.49 : 17,646.06 = 5,192.24 : x
2. Step 2: Convert to fraction form
   11,773.49/17,646.06 = 5,192.24/x
3. Step 3: Cross multiply
   11,773.49x = 17,646.06 × 5,192.24
4. Step 4: Simplify right side
   11,773.49x = 91,622,578.57
5. Step 5: Solve for x
   x = 91,622,578.57/11,773.49
6. Step 6: Final answer
   x = 7,782.11