Finding the Fourth Proportional to 13,706.50, 18,914.83 and 7,737.82

Step by Step Solution

1. Step 1: Write the proportion equation
   13,706.50 : 18,914.83 = 7,737.82 : x
2. Step 2: Convert to fraction form
   13,706.50/18,914.83 = 7,737.82/x
3. Step 3: Cross multiply
   13,706.50x = 18,914.83 × 7,737.82
4. Step 4: Simplify right side
   13,706.50x = 146,359,549.87
5. Step 5: Solve for x
   x = 146,359,549.87/13,706.50
6. Step 6: Final answer
   x = 10,678.11