Finding the Fourth Proportional to 13,705.82, 18,914.04 and 7,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,705.82 : 18,914.04 = 7,737.50 : x
2. Step 2: Convert to fraction form
   13,705.82/18,914.04 = 7,737.50/x
3. Step 3: Cross multiply
   13,705.82x = 18,914.04 × 7,737.50
4. Step 4: Simplify right side
   13,705.82x = 146,347,431.79
5. Step 5: Solve for x
   x = 146,347,431.79/13,705.82
6. Step 6: Final answer
   x = 10,677.76