Finding the Fourth Proportional to 10,856.84, 14,981.56 and 6,380.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,856.84 : 14,981.56 = 6,380.78 : x
2. Step 2: Convert to fraction form
   10,856.84/14,981.56 = 6,380.78/x
3. Step 3: Cross multiply
   10,856.84x = 14,981.56 × 6,380.78
4. Step 4: Simplify right side
   10,856.84x = 95,593,947.56
5. Step 5: Solve for x
   x = 95,593,947.56/10,856.84
6. Step 6: Final answer
   x = 8,804.96