Finding the Fourth Proportional to 14,404, 19,877.52 and 7,780

Step by Step Solution

1. Step 1: Write the proportion equation
   14,404 : 19,877.52 = 7,780 : x
2. Step 2: Convert to fraction form
   14,404/19,877.52 = 7,780/x
3. Step 3: Cross multiply
   14,404x = 19,877.52 × 7,780
4. Step 4: Simplify right side
   14,404x = 154,647,105.60
5. Step 5: Solve for x
   x = 154,647,105.60/14,404
6. Step 6: Final answer
   x = 10,736.40