Finding the Fourth Proportional to 10,496.00, 14,484.42 and 5,780.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.00 : 14,484.42 = 5,780.27 : x
2. Step 2: Convert to fraction form
   10,496.00/14,484.42 = 5,780.27/x
3. Step 3: Cross multiply
   10,496.00x = 14,484.42 × 5,780.27
4. Step 4: Simplify right side
   10,496.00x = 83,723,785.97
5. Step 5: Solve for x
   x = 83,723,785.97/10,496.00
6. Step 6: Final answer
   x = 7,976.74