Finding the Fourth Proportional to 13,084.32, 19,615.40 and 5,683.20

Step by Step Solution

1. Step 1: Write the proportion equation
   13,084.32 : 19,615.40 = 5,683.20 : x
2. Step 2: Convert to fraction form
   13,084.32/19,615.40 = 5,683.20/x
3. Step 3: Cross multiply
   13,084.32x = 19,615.40 × 5,683.20
4. Step 4: Simplify right side
   13,084.32x = 111,478,241.28
5. Step 5: Solve for x
   x = 111,478,241.28/13,084.32
6. Step 6: Final answer
   x = 8,519.99