Finding the Fourth Proportional to 10,223.30, 15,327.78 and 3,978.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,223.30 : 15,327.78 = 3,978.05 : x
2. Step 2: Convert to fraction form
   10,223.30/15,327.78 = 3,978.05/x
3. Step 3: Cross multiply
   10,223.30x = 15,327.78 × 3,978.05
4. Step 4: Simplify right side
   10,223.30x = 60,974,583.67
5. Step 5: Solve for x
   x = 60,974,583.67/10,223.30
6. Step 6: Final answer
   x = 5,964.27