Finding the Fourth Proportional to 10,215.48, 14,098.01 and 5,678.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,215.48 : 14,098.01 = 5,678.67 : x
2. Step 2: Convert to fraction form
   10,215.48/14,098.01 = 5,678.67/x
3. Step 3: Cross multiply
   10,215.48x = 14,098.01 × 5,678.67
4. Step 4: Simplify right side
   10,215.48x = 80,057,946.45
5. Step 5: Solve for x
   x = 80,057,946.45/10,215.48
6. Step 6: Final answer
   x = 7,836.92