Finding the Fourth Proportional to 10,216.65, 14,099.52 and 5,679.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.65 : 14,099.52 = 5,679.83 : x
2. Step 2: Convert to fraction form
   10,216.65/14,099.52 = 5,679.83/x
3. Step 3: Cross multiply
   10,216.65x = 14,099.52 × 5,679.83
4. Step 4: Simplify right side
   10,216.65x = 80,082,933.23
5. Step 5: Solve for x
   x = 80,082,933.23/10,216.65
6. Step 6: Final answer
   x = 7,838.47