Finding the Fourth Proportional to 10,757.28, 14,836.82 and 7,782.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,757.28 : 14,836.82 = 7,782.96 : x
2. Step 2: Convert to fraction form
   10,757.28/14,836.82 = 7,782.96/x
3. Step 3: Cross multiply
   10,757.28x = 14,836.82 × 7,782.96
4. Step 4: Simplify right side
   10,757.28x = 115,474,376.59
5. Step 5: Solve for x
   x = 115,474,376.59/10,757.28
6. Step 6: Final answer
   x = 10,734.53