Finding the Fourth Proportional to 10,216.56, 14,098.56 and 5,679.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.56 : 14,098.56 = 5,679.12 : x
2. Step 2: Convert to fraction form
   10,216.56/14,098.56 = 5,679.12/x
3. Step 3: Cross multiply
   10,216.56x = 14,098.56 × 5,679.12
4. Step 4: Simplify right side
   10,216.56x = 80,067,414.07
5. Step 5: Solve for x
   x = 80,067,414.07/10,216.56
6. Step 6: Final answer
   x = 7,837.02