Finding the Fourth Proportional to 83,057.58, 114,615.90 and 49,077

Step by Step Solution

1. Step 1: Write the proportion equation
   83,057.58 : 114,615.90 = 49,077 : x
2. Step 2: Convert to fraction form
   83,057.58/114,615.90 = 49,077/x
3. Step 3: Cross multiply
   83,057.58x = 114,615.90 × 49,077
4. Step 4: Simplify right side
   83,057.58x = 5,625,004,524.30
5. Step 5: Solve for x
   x = 5,625,004,524.30/83,057.58
6. Step 6: Final answer
   x = 67,724.16