Finding the Fourth Proportional to 82,186.50, 123,205.77 and 29,559

Step by Step Solution

1. Step 1: Write the proportion equation
   82,186.50 : 123,205.77 = 29,559 : x
2. Step 2: Convert to fraction form
   82,186.50/123,205.77 = 29,559/x
3. Step 3: Cross multiply
   82,186.50x = 123,205.77 × 29,559
4. Step 4: Simplify right side
   82,186.50x = 3,641,839,355.43
5. Step 5: Solve for x
   x = 3,641,839,355.43/82,186.50
6. Step 6: Final answer
   x = 44,311.89