Finding the Fourth Proportional to 498.63, 747.62 and 174.02

Step by Step Solution

1. Step 1: Write the proportion equation
   498.63 : 747.62 = 174.02 : x
2. Step 2: Convert to fraction form
   498.63/747.62 = 174.02/x
3. Step 3: Cross multiply
   498.63x = 747.62 × 174.02
4. Step 4: Simplify right side
   498.63x = 130,100.83
5. Step 5: Solve for x
   x = 130,100.83/498.63
6. Step 6: Final answer
   x = 260.92