Finding the Fourth Proportional to 10,256.25, 14,154.41 and 5,780.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.25 : 14,154.41 = 5,780.43 : x
2. Step 2: Convert to fraction form
   10,256.25/14,154.41 = 5,780.43/x
3. Step 3: Cross multiply
   10,256.25x = 14,154.41 × 5,780.43
4. Step 4: Simplify right side
   10,256.25x = 81,818,590.65
5. Step 5: Solve for x
   x = 81,818,590.65/10,256.25
6. Step 6: Final answer
   x = 7,977.43