Finding the Fourth Proportional to 13,706.82, 18,915.42 and 7,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,706.82 : 18,915.42 = 7,738.50 : x
2. Step 2: Convert to fraction form
   13,706.82/18,915.42 = 7,738.50/x
3. Step 3: Cross multiply
   13,706.82x = 18,915.42 × 7,738.50
4. Step 4: Simplify right side
   13,706.82x = 146,376,977.67
5. Step 5: Solve for x
   x = 146,376,977.67/13,706.82
6. Step 6: Final answer
   x = 10,679.13