Finding the Fourth Proportional to 10,496.78, 14,485.68 and 5,780.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.78 : 14,485.68 = 5,780.96 : x
2. Step 2: Convert to fraction form
   10,496.78/14,485.68 = 5,780.96/x
3. Step 3: Cross multiply
   10,496.78x = 14,485.68 × 5,780.96
4. Step 4: Simplify right side
   10,496.78x = 83,741,136.65
5. Step 5: Solve for x
   x = 83,741,136.65/10,496.78
6. Step 6: Final answer
   x = 7,977.79