Finding the Fourth Proportional to 13,086.32, 19,618.40 and 5,685.20

Step by Step Solution

1. Step 1: Write the proportion equation
   13,086.32 : 19,618.40 = 5,685.20 : x
2. Step 2: Convert to fraction form
   13,086.32/19,618.40 = 5,685.20/x
3. Step 3: Cross multiply
   13,086.32x = 19,618.40 × 5,685.20
4. Step 4: Simplify right side
   13,086.32x = 111,534,527.68
5. Step 5: Solve for x
   x = 111,534,527.68/13,086.32
6. Step 6: Final answer
   x = 8,522.99