Finding the Fourth Proportional to 276,144.77, 414,216.47 and 76,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276,144.77 : 414,216.47 = 76,464.50 : x
2. Step 2: Convert to fraction form
   276,144.77/414,216.47 = 76,464.50/x
3. Step 3: Cross multiply
   276,144.77x = 414,216.47 × 76,464.50
4. Step 4: Simplify right side
   276,144.77x = 31,672,853,390.39
5. Step 5: Solve for x
   x = 31,672,853,390.39/276,144.77
6. Step 6: Final answer
   x = 114,696.55