Finding the Fourth Proportional to 123.31, 184.69 and 92.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123.31 : 184.69 = 92.50 : x
2. Step 2: Convert to fraction form
   123.31/184.69 = 92.50/x
3. Step 3: Cross multiply
   123.31x = 184.69 × 92.50
4. Step 4: Simplify right side
   123.31x = 17,083.48
5. Step 5: Solve for x
   x = 17,083.48/123.31
6. Step 6: Final answer
   x = 138.54