Finding the Fourth Proportional to 82,107.84, 123,161.82 and 19,778.40

Step by Step Solution

1. Step 1: Write the proportion equation
   82,107.84 : 123,161.82 = 19,778.40 : x
2. Step 2: Convert to fraction form
   82,107.84/123,161.82 = 19,778.40/x
3. Step 3: Cross multiply
   82,107.84x = 123,161.82 × 19,778.40
4. Step 4: Simplify right side
   82,107.84x = 2,435,943,740.69
5. Step 5: Solve for x
   x = 2,435,943,740.69/82,107.84
6. Step 6: Final answer
   x = 29,667.61