Finding the Fourth Proportional to 13,727.32, 18,943.56 and 7,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,727.32 : 18,943.56 = 7,677.50 : x
2. Step 2: Convert to fraction form
   13,727.32/18,943.56 = 7,677.50/x
3. Step 3: Cross multiply
   13,727.32x = 18,943.56 × 7,677.50
4. Step 4: Simplify right side
   13,727.32x = 145,439,087.18
5. Step 5: Solve for x
   x = 145,439,087.18/13,727.32
6. Step 6: Final answer
   x = 10,594.87