Finding the Fourth Proportional to 10,219.20, 14,096.72 and 6,435.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,219.20 : 14,096.72 = 6,435.86 : x
2. Step 2: Convert to fraction form
   10,219.20/14,096.72 = 6,435.86/x
3. Step 3: Cross multiply
   10,219.20x = 14,096.72 × 6,435.86
4. Step 4: Simplify right side
   10,219.20x = 90,724,464.28
5. Step 5: Solve for x
   x = 90,724,464.28/10,219.20
6. Step 6: Final answer
   x = 8,877.85