Finding the Fourth Proportional to 13,706.82, 18,915.49 and 7,419.20

Step by Step Solution

1. Step 1: Write the proportion equation
   13,706.82 : 18,915.49 = 7,419.20 : x
2. Step 2: Convert to fraction form
   13,706.82/18,915.49 = 7,419.20/x
3. Step 3: Cross multiply
   13,706.82x = 18,915.49 × 7,419.20
4. Step 4: Simplify right side
   13,706.82x = 140,337,718.10
5. Step 5: Solve for x
   x = 140,337,718.10/13,706.82
6. Step 6: Final answer
   x = 10,238.53