Finding the Fourth Proportional to 76,760.46, 114,974.04 and 37,234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,760.46 : 114,974.04 = 37,234.50 : x
2. Step 2: Convert to fraction form
   76,760.46/114,974.04 = 37,234.50/x
3. Step 3: Cross multiply
   76,760.46x = 114,974.04 × 37,234.50
4. Step 4: Simplify right side
   76,760.46x = 4,281,000,892.38
5. Step 5: Solve for x
   x = 4,281,000,892.38/76,760.46
6. Step 6: Final answer
   x = 55,770.91