Finding the Fourth Proportional to 105,983.56, 158,629.20 and 77,896.18

Step by Step Solution

1. Step 1: Write the proportion equation
   105,983.56 : 158,629.20 = 77,896.18 : x
2. Step 2: Convert to fraction form
   105,983.56/158,629.20 = 77,896.18/x
3. Step 3: Cross multiply
   105,983.56x = 158,629.20 × 77,896.18
4. Step 4: Simplify right side
   105,983.56x = 12,356,608,716.46
5. Step 5: Solve for x
   x = 12,356,608,716.46/105,983.56
6. Step 6: Final answer
   x = 116,589.86