Finding the Fourth Proportional to 82,581.76, 123,772.56 and 38,116

Step by Step Solution

1. Step 1: Write the proportion equation
   82,581.76 : 123,772.56 = 38,116 : x
2. Step 2: Convert to fraction form
   82,581.76/123,772.56 = 38,116/x
3. Step 3: Cross multiply
   82,581.76x = 123,772.56 × 38,116
4. Step 4: Simplify right side
   82,581.76x = 4,717,714,896.96
5. Step 5: Solve for x
   x = 4,717,714,896.96/82,581.76
6. Step 6: Final answer
   x = 57,127.81