Finding the Fourth Proportional to 123.69, 185.54 and 78.06

Step by Step Solution

1. Step 1: Write the proportion equation
   123.69 : 185.54 = 78.06 : x
2. Step 2: Convert to fraction form
   123.69/185.54 = 78.06/x
3. Step 3: Cross multiply
   123.69x = 185.54 × 78.06
4. Step 4: Simplify right side
   123.69x = 14,482.86
5. Step 5: Solve for x
   x = 14,482.86/123.69
6. Step 6: Final answer
   x = 117.09