Finding the Fourth Proportional to 498.50, 747.78 and 156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   498.50 : 747.78 = 156.50 : x
2. Step 2: Convert to fraction form
   498.50/747.78 = 156.50/x
3. Step 3: Cross multiply
   498.50x = 747.78 × 156.50
4. Step 4: Simplify right side
   498.50x = 117,027.57
5. Step 5: Solve for x
   x = 117,027.57/498.50
6. Step 6: Final answer
   x = 234.76