Finding the Fourth Proportional to 82,577.76, 123,766.56 and 38,112

Step by Step Solution

1. Step 1: Write the proportion equation
   82,577.76 : 123,766.56 = 38,112 : x
2. Step 2: Convert to fraction form
   82,577.76/123,766.56 = 38,112/x
3. Step 3: Cross multiply
   82,577.76x = 123,766.56 × 38,112
4. Step 4: Simplify right side
   82,577.76x = 4,716,991,134.72
5. Step 5: Solve for x
   x = 4,716,991,134.72/82,577.76
6. Step 6: Final answer
   x = 57,121.81