Finding the Fourth Proportional to 76,082.50, 114,123.89 and 20,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,082.50 : 114,123.89 = 20,678.50 : x
2. Step 2: Convert to fraction form
   76,082.50/114,123.89 = 20,678.50/x
3. Step 3: Cross multiply
   76,082.50x = 114,123.89 × 20,678.50
4. Step 4: Simplify right side
   76,082.50x = 2,359,910,859.37
5. Step 5: Solve for x
   x = 2,359,910,859.37/76,082.50
6. Step 6: Final answer
   x = 31,017.79