Finding the Fourth Proportional to 10,019.55, 13,824.50 and 6,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.55 : 13,824.50 = 6,478.50 : x
2. Step 2: Convert to fraction form
   10,019.55/13,824.50 = 6,478.50/x
3. Step 3: Cross multiply
   10,019.55x = 13,824.50 × 6,478.50
4. Step 4: Simplify right side
   10,019.55x = 89,561,990.86
5. Step 5: Solve for x
   x = 89,561,990.86/10,019.55
6. Step 6: Final answer
   x = 8,938.72