Finding the Fourth Proportional to 123.50, 184.86 and 90.98

Step by Step Solution

1. Step 1: Write the proportion equation
   123.50 : 184.86 = 90.98 : x
2. Step 2: Convert to fraction form
   123.50/184.86 = 90.98/x
3. Step 3: Cross multiply
   123.50x = 184.86 × 90.98
4. Step 4: Simplify right side
   123.50x = 16,818.56
5. Step 5: Solve for x
   x = 16,818.56/123.50
6. Step 6: Final answer
   x = 136.18