Finding the Fourth Proportional to 10,780, 14,876.40 and 7,469.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780 : 14,876.40 = 7,469.92 : x
2. Step 2: Convert to fraction form
   10,780/14,876.40 = 7,469.92/x
3. Step 3: Cross multiply
   10,780x = 14,876.40 × 7,469.92
4. Step 4: Simplify right side
   10,780x = 111,125,517.89
5. Step 5: Solve for x
   x = 111,125,517.89/10,780
6. Step 6: Final answer
   x = 10,308.49