Finding the Fourth Proportional to 13,186.28, 19,788.94 and 5,182.23

Step by Step Solution

1. Step 1: Write the proportion equation
   13,186.28 : 19,788.94 = 5,182.23 : x
2. Step 2: Convert to fraction form
   13,186.28/19,788.94 = 5,182.23/x
3. Step 3: Cross multiply
   13,186.28x = 19,788.94 × 5,182.23
4. Step 4: Simplify right side
   13,186.28x = 102,550,919.22
5. Step 5: Solve for x
   x = 102,550,919.22/13,186.28
6. Step 6: Final answer
   x = 7,777.09