Finding the Fourth Proportional to 10,380.98, 14,327.61 and 6,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380.98 : 14,327.61 = 6,189.50 : x
2. Step 2: Convert to fraction form
   10,380.98/14,327.61 = 6,189.50/x
3. Step 3: Cross multiply
   10,380.98x = 14,327.61 × 6,189.50
4. Step 4: Simplify right side
   10,380.98x = 88,680,742.10
5. Step 5: Solve for x
   x = 88,680,742.10/10,380.98
6. Step 6: Final answer
   x = 8,542.62