Finding the Fourth Proportional to 10,019.61, 13,824.58 and 6,478.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.61 : 13,824.58 = 6,478.56 : x
2. Step 2: Convert to fraction form
   10,019.61/13,824.58 = 6,478.56/x
3. Step 3: Cross multiply
   10,019.61x = 13,824.58 × 6,478.56
4. Step 4: Simplify right side
   10,019.61x = 89,563,405.57
5. Step 5: Solve for x
   x = 89,563,405.57/10,019.61
6. Step 6: Final answer
   x = 8,938.81