Finding the Fourth Proportional to 76,866, 106,162.56 and 51,671.76

Step by Step Solution

1. Step 1: Write the proportion equation
   76,866 : 106,162.56 = 51,671.76 : x
2. Step 2: Convert to fraction form
   76,866/106,162.56 = 51,671.76/x
3. Step 3: Cross multiply
   76,866x = 106,162.56 × 51,671.76
4. Step 4: Simplify right side
   76,866x = 5,485,606,321.31
5. Step 5: Solve for x
   x = 5,485,606,321.31/76,866
6. Step 6: Final answer
   x = 71,365.84