Finding the Fourth Proportional to 13,782.83, 20,645.69 and 7,189.02

Step by Step Solution

1. Step 1: Write the proportion equation
   13,782.83 : 20,645.69 = 7,189.02 : x
2. Step 2: Convert to fraction form
   13,782.83/20,645.69 = 7,189.02/x
3. Step 3: Cross multiply
   13,782.83x = 20,645.69 × 7,189.02
4. Step 4: Simplify right side
   13,782.83x = 148,422,242.38
5. Step 5: Solve for x
   x = 148,422,242.38/13,782.83
6. Step 6: Final answer
   x = 10,768.64