Finding the Fourth Proportional to 11,763.09, 17,645.24 and 5,189.33

Step by Step Solution

1. Step 1: Write the proportion equation
   11,763.09 : 17,645.24 = 5,189.33 : x
2. Step 2: Convert to fraction form
   11,763.09/17,645.24 = 5,189.33/x
3. Step 3: Cross multiply
   11,763.09x = 17,645.24 × 5,189.33
4. Step 4: Simplify right side
   11,763.09x = 91,567,030.38
5. Step 5: Solve for x
   x = 91,567,030.38/11,763.09
6. Step 6: Final answer
   x = 7,784.27