Finding the Fourth Proportional to 123.16, 185.64 and 116.10

Step by Step Solution

1. Step 1: Write the proportion equation
   123.16 : 185.64 = 116.10 : x
2. Step 2: Convert to fraction form
   123.16/185.64 = 116.10/x
3. Step 3: Cross multiply
   123.16x = 185.64 × 116.10
4. Step 4: Simplify right side
   123.16x = 21,552.80
5. Step 5: Solve for x
   x = 21,552.80/123.16
6. Step 6: Final answer
   x = 175.00