Finding the Fourth Proportional to 123.50, 185.06 and 72.02

Step by Step Solution

1. Step 1: Write the proportion equation
   123.50 : 185.06 = 72.02 : x
2. Step 2: Convert to fraction form
   123.50/185.06 = 72.02/x
3. Step 3: Cross multiply
   123.50x = 185.06 × 72.02
4. Step 4: Simplify right side
   123.50x = 13,326.74
5. Step 5: Solve for x
   x = 13,326.74/123.50
6. Step 6: Final answer
   x = 107.91