Finding the Fourth Proportional to 10,257.09, 14,154.33 and 5,780.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257.09 : 14,154.33 = 5,780.82 : x
2. Step 2: Convert to fraction form
   10,257.09/14,154.33 = 5,780.82/x
3. Step 3: Cross multiply
   10,257.09x = 14,154.33 × 5,780.82
4. Step 4: Simplify right side
   10,257.09x = 81,823,633.95
5. Step 5: Solve for x
   x = 81,823,633.95/10,257.09
6. Step 6: Final answer
   x = 7,977.28