Finding the Fourth Proportional to 13,706.58, 18,915.69 and 7,738.30

Step by Step Solution

1. Step 1: Write the proportion equation
   13,706.58 : 18,915.69 = 7,738.30 : x
2. Step 2: Convert to fraction form
   13,706.58/18,915.69 = 7,738.30/x
3. Step 3: Cross multiply
   13,706.58x = 18,915.69 × 7,738.30
4. Step 4: Simplify right side
   13,706.58x = 146,375,336.59
5. Step 5: Solve for x
   x = 146,375,336.59/13,706.58
6. Step 6: Final answer
   x = 10,679.20