Finding the Fourth Proportional to 19,978.38, 29,972.16 and 6,830.82

Step by Step Solution

1. Step 1: Write the proportion equation
   19,978.38 : 29,972.16 = 6,830.82 : x
2. Step 2: Convert to fraction form
   19,978.38/29,972.16 = 6,830.82/x
3. Step 3: Cross multiply
   19,978.38x = 29,972.16 × 6,830.82
4. Step 4: Simplify right side
   19,978.38x = 204,734,429.97
5. Step 5: Solve for x
   x = 204,734,429.97/19,978.38
6. Step 6: Final answer
   x = 10,247.80