Finding the Fourth Proportional to 10,496.28, 14,484.78 and 5,780.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.28 : 14,484.78 = 5,780.40 : x
2. Step 2: Convert to fraction form
   10,496.28/14,484.78 = 5,780.40/x
3. Step 3: Cross multiply
   10,496.28x = 14,484.78 × 5,780.40
4. Step 4: Simplify right side
   10,496.28x = 83,727,822.31
5. Step 5: Solve for x
   x = 83,727,822.31/10,496.28
6. Step 6: Final answer
   x = 7,976.90