Finding the Fourth Proportional to 123.61, 185.59 and 78.14

Step by Step Solution

1. Step 1: Write the proportion equation
   123.61 : 185.59 = 78.14 : x
2. Step 2: Convert to fraction form
   123.61/185.59 = 78.14/x
3. Step 3: Cross multiply
   123.61x = 185.59 × 78.14
4. Step 4: Simplify right side
   123.61x = 14,502.00
5. Step 5: Solve for x
   x = 14,502.00/123.61
6. Step 6: Final answer
   x = 117.32