Finding the Fourth Proportional to 10,256.28, 14,153.64 and 5,780.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.28 : 14,153.64 = 5,780.52 : x
2. Step 2: Convert to fraction form
   10,256.28/14,153.64 = 5,780.52/x
3. Step 3: Cross multiply
   10,256.28x = 14,153.64 × 5,780.52
4. Step 4: Simplify right side
   10,256.28x = 81,815,399.09
5. Step 5: Solve for x
   x = 81,815,399.09/10,256.28
6. Step 6: Final answer
   x = 7,977.10