Finding the Fourth Proportional to 13,066.89, 19,586.92 and 5,166.20

Step by Step Solution

1. Step 1: Write the proportion equation
   13,066.89 : 19,586.92 = 5,166.20 : x
2. Step 2: Convert to fraction form
   13,066.89/19,586.92 = 5,166.20/x
3. Step 3: Cross multiply
   13,066.89x = 19,586.92 × 5,166.20
4. Step 4: Simplify right side
   13,066.89x = 101,189,946.10
5. Step 5: Solve for x
   x = 101,189,946.10/13,066.89
6. Step 6: Final answer
   x = 7,744.00