Finding the Fourth Proportional to 10,215.73, 14,096.90 and 5,678.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,215.73 : 14,096.90 = 5,678.06 : x
2. Step 2: Convert to fraction form
   10,215.73/14,096.90 = 5,678.06/x
3. Step 3: Cross multiply
   10,215.73x = 14,096.90 × 5,678.06
4. Step 4: Simplify right side
   10,215.73x = 80,043,066.44
5. Step 5: Solve for x
   x = 80,043,066.44/10,215.73
6. Step 6: Final answer
   x = 7,835.27