Finding the Fourth Proportional to 10,256.52, 14,154 and 5,780.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.52 : 14,154 = 5,780.28 : x
2. Step 2: Convert to fraction form
   10,256.52/14,154 = 5,780.28/x
3. Step 3: Cross multiply
   10,256.52x = 14,154 × 5,780.28
4. Step 4: Simplify right side
   10,256.52x = 81,814,083.12
5. Step 5: Solve for x
   x = 81,814,083.12/10,256.52
6. Step 6: Final answer
   x = 7,976.79