Finding the Fourth Proportional to 116.00, 159.83 and 83.20

Step by Step Solution

1. Step 1: Write the proportion equation
   116.00 : 159.83 = 83.20 : x
2. Step 2: Convert to fraction form
   116.00/159.83 = 83.20/x
3. Step 3: Cross multiply
   116.00x = 159.83 × 83.20
4. Step 4: Simplify right side
   116.00x = 13,297.82
5. Step 5: Solve for x
   x = 13,297.82/116.00
6. Step 6: Final answer
   x = 114.63