Finding the Fourth Proportional to 10,496.09, 14,483.13 and 5,780.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.09 : 14,483.13 = 5,780.68 : x
2. Step 2: Convert to fraction form
   10,496.09/14,483.13 = 5,780.68/x
3. Step 3: Cross multiply
   10,496.09x = 14,483.13 × 5,780.68
4. Step 4: Simplify right side
   10,496.09x = 83,722,339.93
5. Step 5: Solve for x
   x = 83,722,339.93/10,496.09
6. Step 6: Final answer
   x = 7,976.53