Finding the Fourth Proportional to 10,949.74, 16,385.70 and 8,020.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,949.74 : 16,385.70 = 8,020.78 : x
2. Step 2: Convert to fraction form
   10,949.74/16,385.70 = 8,020.78/x
3. Step 3: Cross multiply
   10,949.74x = 16,385.70 × 8,020.78
4. Step 4: Simplify right side
   10,949.74x = 131,426,094.85
5. Step 5: Solve for x
   x = 131,426,094.85/10,949.74
6. Step 6: Final answer
   x = 12,002.67