Finding the Fourth Proportional to 10,214.48, 14,096.63 and 5,677.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.48 : 14,096.63 = 5,677.67 : x
2. Step 2: Convert to fraction form
   10,214.48/14,096.63 = 5,677.67/x
3. Step 3: Cross multiply
   10,214.48x = 14,096.63 × 5,677.67
4. Step 4: Simplify right side
   10,214.48x = 80,035,914.38
5. Step 5: Solve for x
   x = 80,035,914.38/10,214.48
6. Step 6: Final answer
   x = 7,835.54