Finding the Fourth Proportional to 10,496.22, 14,484.78 and 5,780.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.22 : 14,484.78 = 5,780.52 : x
2. Step 2: Convert to fraction form
   10,496.22/14,484.78 = 5,780.52/x
3. Step 3: Cross multiply
   10,496.22x = 14,484.78 × 5,780.52
4. Step 4: Simplify right side
   10,496.22x = 83,729,560.49
5. Step 5: Solve for x
   x = 83,729,560.49/10,496.22
6. Step 6: Final answer
   x = 7,977.12