Finding the Fourth Proportional to 10,496.10, 14,483.12 and 5,780.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.10 : 14,483.12 = 5,780.68 : x
2. Step 2: Convert to fraction form
   10,496.10/14,483.12 = 5,780.68/x
3. Step 3: Cross multiply
   10,496.10x = 14,483.12 × 5,780.68
4. Step 4: Simplify right side
   10,496.10x = 83,722,282.12
5. Step 5: Solve for x
   x = 83,722,282.12/10,496.10
6. Step 6: Final answer
   x = 7,976.51