Finding the Fourth Proportional to 82,414, 123,641.72 and 38,072.12

Step by Step Solution

1. Step 1: Write the proportion equation
   82,414 : 123,641.72 = 38,072.12 : x
2. Step 2: Convert to fraction form
   82,414/123,641.72 = 38,072.12/x
3. Step 3: Cross multiply
   82,414x = 123,641.72 × 38,072.12
4. Step 4: Simplify right side
   82,414x = 4,707,302,400.85
5. Step 5: Solve for x
   x = 4,707,302,400.85/82,414
6. Step 6: Final answer
   x = 57,117.75