Finding the Fourth Proportional to 123.78, 185.72 and 117.93

Step by Step Solution

1. Step 1: Write the proportion equation
   123.78 : 185.72 = 117.93 : x
2. Step 2: Convert to fraction form
   123.78/185.72 = 117.93/x
3. Step 3: Cross multiply
   123.78x = 185.72 × 117.93
4. Step 4: Simplify right side
   123.78x = 21,901.96
5. Step 5: Solve for x
   x = 21,901.96/123.78
6. Step 6: Final answer
   x = 176.94