Finding the Fourth Proportional to 498.37, 747.62 and 186.12

Step by Step Solution

1. Step 1: Write the proportion equation
   498.37 : 747.62 = 186.12 : x
2. Step 2: Convert to fraction form
   498.37/747.62 = 186.12/x
3. Step 3: Cross multiply
   498.37x = 747.62 × 186.12
4. Step 4: Simplify right side
   498.37x = 139,147.03
5. Step 5: Solve for x
   x = 139,147.03/498.37
6. Step 6: Final answer
   x = 279.20