Finding the Fourth Proportional to 10,856.42, 14,982.96 and 6,380.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,856.42 : 14,982.96 = 6,380.78 : x
2. Step 2: Convert to fraction form
   10,856.42/14,982.96 = 6,380.78/x
3. Step 3: Cross multiply
   10,856.42x = 14,982.96 × 6,380.78
4. Step 4: Simplify right side
   10,856.42x = 95,602,971.51
5. Step 5: Solve for x
   x = 95,602,971.51/10,856.42
6. Step 6: Final answer
   x = 8,806.12