Finding the Fourth Proportional to 13,705.67, 18,914.18 and 7,737.89

Step by Step Solution

1. Step 1: Write the proportion equation
   13,705.67 : 18,914.18 = 7,737.89 : x
2. Step 2: Convert to fraction form
   13,705.67/18,914.18 = 7,737.89/x
3. Step 3: Cross multiply
   13,705.67x = 18,914.18 × 7,737.89
4. Step 4: Simplify right side
   13,705.67x = 146,355,844.28
5. Step 5: Solve for x
   x = 146,355,844.28/13,705.67
6. Step 6: Final answer
   x = 10,678.49