Finding the Fourth Proportional to 10,278.50, 14,184.60 and 5,802.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,278.50 : 14,184.60 = 5,802.67 : x
2. Step 2: Convert to fraction form
   10,278.50/14,184.60 = 5,802.67/x
3. Step 3: Cross multiply
   10,278.50x = 14,184.60 × 5,802.67
4. Step 4: Simplify right side
   10,278.50x = 82,308,517.42
5. Step 5: Solve for x
   x = 82,308,517.42/10,278.50
6. Step 6: Final answer
   x = 8,007.83