Finding the Fourth Proportional to 82,109.84, 123,164.82 and 19,780.40

Step by Step Solution

1. Step 1: Write the proportion equation
   82,109.84 : 123,164.82 = 19,780.40 : x
2. Step 2: Convert to fraction form
   82,109.84/123,164.82 = 19,780.40/x
3. Step 3: Cross multiply
   82,109.84x = 123,164.82 × 19,780.40
4. Step 4: Simplify right side
   82,109.84x = 2,436,249,405.53
5. Step 5: Solve for x
   x = 2,436,249,405.53/82,109.84
6. Step 6: Final answer
   x = 29,670.61