Finding the Fourth Proportional to 13,066.82, 19,586.80 and 5,166.12

Step by Step Solution

1. Step 1: Write the proportion equation
   13,066.82 : 19,586.80 = 5,166.12 : x
2. Step 2: Convert to fraction form
   13,066.82/19,586.80 = 5,166.12/x
3. Step 3: Cross multiply
   13,066.82x = 19,586.80 × 5,166.12
4. Step 4: Simplify right side
   13,066.82x = 101,187,759.22
5. Step 5: Solve for x
   x = 101,187,759.22/13,066.82
6. Step 6: Final answer
   x = 7,743.87