Finding the Fourth Proportional to 10,216.14, 14,098.05 and 5,678.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.14 : 14,098.05 = 5,678.52 : x
2. Step 2: Convert to fraction form
   10,216.14/14,098.05 = 5,678.52/x
3. Step 3: Cross multiply
   10,216.14x = 14,098.05 × 5,678.52
4. Step 4: Simplify right side
   10,216.14x = 80,056,058.89
5. Step 5: Solve for x
   x = 80,056,058.89/10,216.14
6. Step 6: Final answer
   x = 7,836.23