Finding the Fourth Proportional to 13,086.14, 19,615.57 and 5,684.34

Step by Step Solution

1. Step 1: Write the proportion equation
   13,086.14 : 19,615.57 = 5,684.34 : x
2. Step 2: Convert to fraction form
   13,086.14/19,615.57 = 5,684.34/x
3. Step 3: Cross multiply
   13,086.14x = 19,615.57 × 5,684.34
4. Step 4: Simplify right side
   13,086.14x = 111,501,569.17
5. Step 5: Solve for x
   x = 111,501,569.17/13,086.14
6. Step 6: Final answer
   x = 8,520.59