Finding the Fourth Proportional to 123.88, 185.76 and 69.82

Step by Step Solution

1. Step 1: Write the proportion equation
   123.88 : 185.76 = 69.82 : x
2. Step 2: Convert to fraction form
   123.88/185.76 = 69.82/x
3. Step 3: Cross multiply
   123.88x = 185.76 × 69.82
4. Step 4: Simplify right side
   123.88x = 12,969.76
5. Step 5: Solve for x
   x = 12,969.76/123.88
6. Step 6: Final answer
   x = 104.70