Finding the Fourth Proportional to 123.83, 185.49 and 78.26

Step by Step Solution

1. Step 1: Write the proportion equation
   123.83 : 185.49 = 78.26 : x
2. Step 2: Convert to fraction form
   123.83/185.49 = 78.26/x
3. Step 3: Cross multiply
   123.83x = 185.49 × 78.26
4. Step 4: Simplify right side
   123.83x = 14,515.52
5. Step 5: Solve for x
   x = 14,515.52/123.83
6. Step 6: Final answer
   x = 117.23