Finding the Fourth Proportional to 10,563.50, 14,577.84 and 6,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,563.50 : 14,577.84 = 6,086.50 : x
2. Step 2: Convert to fraction form
   10,563.50/14,577.84 = 6,086.50/x
3. Step 3: Cross multiply
   10,563.50x = 14,577.84 × 6,086.50
4. Step 4: Simplify right side
   10,563.50x = 88,727,986.72
5. Step 5: Solve for x
   x = 88,727,986.72/10,563.50
6. Step 6: Final answer
   x = 8,399.49