Finding the Fourth Proportional to 10,496.92, 14,485.20 and 5,780.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.92 : 14,485.20 = 5,780.30 : x
2. Step 2: Convert to fraction form
   10,496.92/14,485.20 = 5,780.30/x
3. Step 3: Cross multiply
   10,496.92x = 14,485.20 × 5,780.30
4. Step 4: Simplify right side
   10,496.92x = 83,728,801.56
5. Step 5: Solve for x
   x = 83,728,801.56/10,496.92
6. Step 6: Final answer
   x = 7,976.51