Finding the Fourth Proportional to 10,256.95, 14,153.70 and 5,780.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.95 : 14,153.70 = 5,780.28 : x
2. Step 2: Convert to fraction form
   10,256.95/14,153.70 = 5,780.28/x
3. Step 3: Cross multiply
   10,256.95x = 14,153.70 × 5,780.28
4. Step 4: Simplify right side
   10,256.95x = 81,812,349.04
5. Step 5: Solve for x
   x = 81,812,349.04/10,256.95
6. Step 6: Final answer
   x = 7,976.28